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Finding the Fourth Proportional to 281,693.52, 422,251.92 and 123,892.56

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Solution

The fourth proportional to 281,693.52, 422,251.92 and 123,892.56 is: 185,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,693.52 : 422,251.92 = 123,892.56 : x
  2. Step 2: Convert to fraction form
    281,693.52/422,251.92 = 123,892.56/x
  3. Step 3: Cross multiply
    281,693.52x = 422,251.92 × 123,892.56
  4. Step 4: Simplify right side
    281,693.52x = 52,313,871,333.72
  5. Step 5: Solve for x
    x = 52,313,871,333.72/281,693.52
  6. Step 6: Final answer
    x = 185,712.02

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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.