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Finding the Fourth Proportional to 283,428.38, 391,131.16 and 156,103.97

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Solution

The fourth proportional to 283,428.38, 391,131.16 and 156,103.97 is: 215,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,428.38 : 391,131.16 = 156,103.97 : x
  2. Step 2: Convert to fraction form
    283,428.38/391,131.16 = 156,103.97/x
  3. Step 3: Cross multiply
    283,428.38x = 391,131.16 × 156,103.97
  4. Step 4: Simplify right side
    283,428.38x = 61,057,125,987.53
  5. Step 5: Solve for x
    x = 61,057,125,987.53/283,428.38
  6. Step 6: Final answer
    x = 215,423.48

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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.