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Finding the Fourth Proportional to 123,414.92, 185,093.49 and 34,676.90

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Solution

The fourth proportional to 123,414.92, 185,093.49 and 34,676.90 is: 52,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.92 : 185,093.49 = 34,676.90 : x
  2. Step 2: Convert to fraction form
    123,414.92/185,093.49 = 34,676.90/x
  3. Step 3: Cross multiply
    123,414.92x = 185,093.49 × 34,676.90
  4. Step 4: Simplify right side
    123,414.92x = 6,418,468,443.38
  5. Step 5: Solve for x
    x = 6,418,468,443.38/123,414.92
  6. Step 6: Final answer
    x = 52,007.23

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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.