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Finding the Fourth Proportional to 123,410.83, 185,116.24 and 29,916.58

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Solution

The fourth proportional to 123,410.83, 185,116.24 and 29,916.58 is: 44,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.83 : 185,116.24 = 29,916.58 : x
  2. Step 2: Convert to fraction form
    123,410.83/185,116.24 = 29,916.58/x
  3. Step 3: Cross multiply
    123,410.83x = 185,116.24 × 29,916.58
  4. Step 4: Simplify right side
    123,410.83x = 5,538,044,803.26
  5. Step 5: Solve for x
    x = 5,538,044,803.26/123,410.83
  6. Step 6: Final answer
    x = 44,874.87

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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.