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Finding the Fourth Proportional to 123,126.64, 184,624.32 and 63,902.68

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Solution

The fourth proportional to 123,126.64, 184,624.32 and 63,902.68 is: 95,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,126.64 : 184,624.32 = 63,902.68 : x
  2. Step 2: Convert to fraction form
    123,126.64/184,624.32 = 63,902.68/x
  3. Step 3: Cross multiply
    123,126.64x = 184,624.32 × 63,902.68
  4. Step 4: Simplify right side
    123,126.64x = 11,797,988,841.18
  5. Step 5: Solve for x
    x = 11,797,988,841.18/123,126.64
  6. Step 6: Final answer
    x = 95,819.95

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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.