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Finding the Fourth Proportional to 123,031.24, 184,481.24 and 63,719.80

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Solution

The fourth proportional to 123,031.24, 184,481.24 and 63,719.80 is: 95,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,031.24 : 184,481.24 = 63,719.80 : x
  2. Step 2: Convert to fraction form
    123,031.24/184,481.24 = 63,719.80/x
  3. Step 3: Cross multiply
    123,031.24x = 184,481.24 × 63,719.80
  4. Step 4: Simplify right side
    123,031.24x = 11,755,107,716.55
  5. Step 5: Solve for x
    x = 11,755,107,716.55/123,031.24
  6. Step 6: Final answer
    x = 95,545.71

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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.