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Finding the Fourth Proportional to 281,744.64, 422,711.04 and 92,213.76

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Solution

The fourth proportional to 281,744.64, 422,711.04 and 92,213.76 is: 138,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,744.64 : 422,711.04 = 92,213.76 : x
  2. Step 2: Convert to fraction form
    281,744.64/422,711.04 = 92,213.76/x
  3. Step 3: Cross multiply
    281,744.64x = 422,711.04 × 92,213.76
  4. Step 4: Simplify right side
    281,744.64x = 38,979,774,391.91
  5. Step 5: Solve for x
    x = 38,979,774,391.91/281,744.64
  6. Step 6: Final answer
    x = 138,351.43

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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.