(1) The allocation board of a county in which other than the greatest part of the area of an intercounty intermediate school district is located shall remain in session to receive the notice. If the notice indicates that a higher rate was approved for the intermediate school district by the allocation board of the county in which the greatest part of the intermediate school district is located, the allocation board of any county that has adopted a lower rate shall change it to the rate approved by the allocation board of the county in which the greatest part of the area of the intermediate school district is located.

    (2) The allocation board of a county containing other than the greatest part of the area of an intercounty intermediate school district shall adopt a maximum rate for the intermediate school district that is not less than the separate tax rate for the intermediate school district adopted by the qualified electors of the county containing the greatest part of the area of the intermediate school district, if there has been a vote. Notwithstanding any other provision of this act, an intermediate school district shall not be allowed a tax rate in excess of the rate required according to its proposed budget.