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Finding the Fourth Proportional to 123,229.76, 184,861.92 and 40,104.32

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Solution

The fourth proportional to 123,229.76, 184,861.92 and 40,104.32 is: 60,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,229.76 : 184,861.92 = 40,104.32 : x
  2. Step 2: Convert to fraction form
    123,229.76/184,861.92 = 40,104.32/x
  3. Step 3: Cross multiply
    123,229.76x = 184,861.92 × 40,104.32
  4. Step 4: Simplify right side
    123,229.76x = 7,413,761,595.49
  5. Step 5: Solve for x
    x = 7,413,761,595.49/123,229.76
  6. Step 6: Final answer
    x = 60,162.10

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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.