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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

  1. Step 1: Write the proportion equation
    198,800 : 274,344 = 109,376 : x
  2. Step 2: Convert to fraction form
    198,800/274,344 = 109,376/x
  3. Step 3: Cross multiply
    198,800x = 274,344 × 109,376
  4. Step 4: Simplify right side
    198,800x = 30,006,649,344
  5. Step 5: Solve for x
    x = 30,006,649,344/198,800
  6. 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.