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Finding the Fourth Proportional to 149,398.59, 224,167.82 and 74,524.52

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Solution

The fourth proportional to 149,398.59, 224,167.82 and 74,524.52 is: 111,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398.59 : 224,167.82 = 74,524.52 : x
  2. Step 2: Convert to fraction form
    149,398.59/224,167.82 = 74,524.52/x
  3. Step 3: Cross multiply
    149,398.59x = 224,167.82 × 74,524.52
  4. Step 4: Simplify right side
    149,398.59x = 16,705,997,691.48
  5. Step 5: Solve for x
    x = 16,705,997,691.48/149,398.59
  6. Step 6: Final answer
    x = 111,821.66

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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.