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Finding the Fourth Proportional to 123,410.64, 185,115.92 and 29,916.38

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Solution

The fourth proportional to 123,410.64, 185,115.92 and 29,916.38 is: 44,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.64 : 185,115.92 = 29,916.38 : x
  2. Step 2: Convert to fraction form
    123,410.64/185,115.92 = 29,916.38/x
  3. Step 3: Cross multiply
    123,410.64x = 185,115.92 × 29,916.38
  4. Step 4: Simplify right side
    123,410.64x = 5,537,998,206.77
  5. Step 5: Solve for x
    x = 5,537,998,206.77/123,410.64
  6. Step 6: Final answer
    x = 44,874.56

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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.