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Finding the Fourth Proportional to 123,034.92, 184,552.56 and 34,290.78

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Solution

The fourth proportional to 123,034.92, 184,552.56 and 34,290.78 is: 51,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,034.92 : 184,552.56 = 34,290.78 : x
  2. Step 2: Convert to fraction form
    123,034.92/184,552.56 = 34,290.78/x
  3. Step 3: Cross multiply
    123,034.92x = 184,552.56 × 34,290.78
  4. Step 4: Simplify right side
    123,034.92x = 6,328,451,233.40
  5. Step 5: Solve for x
    x = 6,328,451,233.40/123,034.92
  6. Step 6: Final answer
    x = 51,436.22

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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.