Finding the Fourth Proportional to 198,800, 274,344 and 109,376
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Solution
The fourth proportional to 198,800, 274,344 and 109,376 is: 150,938.88
Step by Step Solution
- Step 1: Write the proportion equation
198,800 : 274,344 = 109,376 : x - Step 2: Convert to fraction form
198,800/274,344 = 109,376/x - Step 3: Cross multiply
198,800x = 274,344 × 109,376 - Step 4: Simplify right side
198,800x = 30,006,649,344 - Step 5: Solve for x
x = 30,006,649,344/198,800 - Step 6: Final answer
x = 150,938.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.