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Finding the Fourth Proportional to 132,542.20, 198,521.70 and 115,046.20

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Solution

The fourth proportional to 132,542.20, 198,521.70 and 115,046.20 is: 172,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,542.20 : 198,521.70 = 115,046.20 : x
  2. Step 2: Convert to fraction form
    132,542.20/198,521.70 = 115,046.20/x
  3. Step 3: Cross multiply
    132,542.20x = 198,521.70 × 115,046.20
  4. Step 4: Simplify right side
    132,542.20x = 22,839,167,202.54
  5. Step 5: Solve for x
    x = 22,839,167,202.54/132,542.20
  6. Step 6: Final answer
    x = 172,316.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.