Suppose a company received 40% of their sales in cash at the time of sale, 30% in cash the following month, 20% in cash 2 months following the sale, and 10% in cash 3 months following the sale.

Assume that the company made $100,000 in sales in January, $200,000 in sales in February, and $400,000 in sales in March.

How much cash did they receive in March?