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Finding the Fourth Proportional to 283,469.38, 391,187.76 and 156,144.97

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Solution

The fourth proportional to 283,469.38, 391,187.76 and 156,144.97 is: 215,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,469.38 : 391,187.76 = 156,144.97 : x
  2. Step 2: Convert to fraction form
    283,469.38/391,187.76 = 156,144.97/x
  3. Step 3: Cross multiply
    283,469.38x = 391,187.76 × 156,144.97
  4. Step 4: Simplify right side
    283,469.38x = 61,081,998,312.90
  5. Step 5: Solve for x
    x = 61,081,998,312.90/283,469.38
  6. Step 6: Final answer
    x = 215,480.06

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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.