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Finding the Fourth Proportional to 137,902.38, 206,865.46 and 38,062.58

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Solution

The fourth proportional to 137,902.38, 206,865.46 and 38,062.58 is: 57,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.38 : 206,865.46 = 38,062.58 : x
  2. Step 2: Convert to fraction form
    137,902.38/206,865.46 = 38,062.58/x
  3. Step 3: Cross multiply
    137,902.38x = 206,865.46 × 38,062.58
  4. Step 4: Simplify right side
    137,902.38x = 7,873,833,120.49
  5. Step 5: Solve for x
    x = 7,873,833,120.49/137,902.38
  6. Step 6: Final answer
    x = 57,097.15

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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.