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Finding the Fourth Proportional to 283,447.72, 391,175.58 and 156,123.28

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Solution

The fourth proportional to 283,447.72, 391,175.58 and 156,123.28 is: 215,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447.72 : 391,175.58 = 156,123.28 : x
  2. Step 2: Convert to fraction form
    283,447.72/391,175.58 = 156,123.28/x
  3. Step 3: Cross multiply
    283,447.72x = 391,175.58 × 156,123.28
  4. Step 4: Simplify right side
    283,447.72x = 61,071,614,605.50
  5. Step 5: Solve for x
    x = 61,071,614,605.50/283,447.72
  6. Step 6: Final answer
    x = 215,459.89

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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.