Here is a forecast of sales by National Bromide for the first four months of $2022($figures in $ thousands$)$:

$\backslash$table$[[,$Month $1,$Month $2,$Month $3,$Month $4],[$Cash sales,$15,24,18,14],[$Sales on credit,$100,120,90,70]]$

On average, $50\%$ of credit sales are paid for in the current month, $30\%$ are paid in the next month, and the remainder are paid in the month after that. What is the expected cash inflow from operations in month $4?$

$$119,000$

$$135,000$

$$100,000$

$$89,200$