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Finding the Fourth Proportional to 181,249.92, 271,460.73 and 86,546.43

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Solution

The fourth proportional to 181,249.92, 271,460.73 and 86,546.43 is: 129,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,249.92 : 271,460.73 = 86,546.43 : x
  2. Step 2: Convert to fraction form
    181,249.92/271,460.73 = 86,546.43/x
  3. Step 3: Cross multiply
    181,249.92x = 271,460.73 × 86,546.43
  4. Step 4: Simplify right side
    181,249.92x = 23,493,957,391.24
  5. Step 5: Solve for x
    x = 23,493,957,391.24/181,249.92
  6. Step 6: Final answer
    x = 129,621.89

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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.