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Finding the Fourth Proportional to 198,720.68, 274,233.24 and 112,695.92

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Solution

The fourth proportional to 198,720.68, 274,233.24 and 112,695.92 is: 155,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720.68 : 274,233.24 = 112,695.92 : x
  2. Step 2: Convert to fraction form
    198,720.68/274,233.24 = 112,695.92/x
  3. Step 3: Cross multiply
    198,720.68x = 274,233.24 × 112,695.92
  4. Step 4: Simplify right side
    198,720.68x = 30,904,967,276.38
  5. Step 5: Solve for x
    x = 30,904,967,276.38/198,720.68
  6. Step 6: Final answer
    x = 155,519.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.