Mitch and Gena's son is $17$ years old. He will begin college today and the cost of the first year is $$30,000.$ If Mitch and Gena want to set aside a lump sum of money today to fund the next four years of education, how much should the set aside? They expect their funds to earn $4\%$ per year. The cost of college is increasing at $5\%$ per year.

$($Round to the whole dollar and do not use a dollar sign$)$

Answer