Quattro makes all sales on account, subject to the following collection pattern: $20\%$ are collected in the month of sale; $50\%$ are collected in the first month after sale; and $30\%$ are collected in the second month after sale. If sales for April, May, and June were $$66,000,$ $$85,000,$ and $$72,000,$ respectively, what were the firm's budgeted collections for June?