Harrington makes all sales on account, subject to the following collection pattern: $30\%$ are collected in the month of sale; $60\%$ are collected in the first month after sale; and $10\%$ are collected in the second month after sale. If sales for June, July, and August were $$150,000,$ $$170,000,$ and $$230,000,$ respectively, what were the firm's budgeted collections for August and the company's budgeted receivables balance on August $31?$

Tune July August