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Finding the Fourth Proportional to 137,147.40, 206,066.70 and 87,251.40

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Solution

The fourth proportional to 137,147.40, 206,066.70 and 87,251.40 is: 131,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,147.40 : 206,066.70 = 87,251.40 : x
  2. Step 2: Convert to fraction form
    137,147.40/206,066.70 = 87,251.40/x
  3. Step 3: Cross multiply
    137,147.40x = 206,066.70 × 87,251.40
  4. Step 4: Simplify right side
    137,147.40x = 17,979,608,068.38
  5. Step 5: Solve for x
    x = 17,979,608,068.38/137,147.40
  6. Step 6: Final answer
    x = 131,096.97

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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.