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Finding the Fourth Proportional to 123,202.91, 184,805.72 and 38,961.02

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Solution

The fourth proportional to 123,202.91, 184,805.72 and 38,961.02 is: 58,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.91 : 184,805.72 = 38,961.02 : x
  2. Step 2: Convert to fraction form
    123,202.91/184,805.72 = 38,961.02/x
  3. Step 3: Cross multiply
    123,202.91x = 184,805.72 × 38,961.02
  4. Step 4: Simplify right side
    123,202.91x = 7,200,218,234.20
  5. Step 5: Solve for x
    x = 7,200,218,234.20/123,202.91
  6. Step 6: Final answer
    x = 58,441.95

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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.