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Finding the Fourth Proportional to 123,337.13, 185,005.71 and 29,842.88

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Solution

The fourth proportional to 123,337.13, 185,005.71 and 29,842.88 is: 44,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,337.13 : 185,005.71 = 29,842.88 : x
  2. Step 2: Convert to fraction form
    123,337.13/185,005.71 = 29,842.88/x
  3. Step 3: Cross multiply
    123,337.13x = 185,005.71 × 29,842.88
  4. Step 4: Simplify right side
    123,337.13x = 5,521,103,202.84
  5. Step 5: Solve for x
    x = 5,521,103,202.84/123,337.13
  6. Step 6: Final answer
    x = 44,764.32

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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.