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Finding the Fourth Proportional to 123,469.56, 185,204.34 and 29,974.68

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Solution

The fourth proportional to 123,469.56, 185,204.34 and 29,974.68 is: 44,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,469.56 : 185,204.34 = 29,974.68 : x
  2. Step 2: Convert to fraction form
    123,469.56/185,204.34 = 29,974.68/x
  3. Step 3: Cross multiply
    123,469.56x = 185,204.34 × 29,974.68
  4. Step 4: Simplify right side
    123,469.56x = 5,551,440,826.11
  5. Step 5: Solve for x
    x = 5,551,440,826.11/123,469.56
  6. Step 6: Final answer
    x = 44,962.02

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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.