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Finding the Fourth Proportional to 281,627.82, 422,535.96 and 92,096.91

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Solution

The fourth proportional to 281,627.82, 422,535.96 and 92,096.91 is: 138,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,627.82 : 422,535.96 = 92,096.91 : x
  2. Step 2: Convert to fraction form
    281,627.82/422,535.96 = 92,096.91/x
  3. Step 3: Cross multiply
    281,627.82x = 422,535.96 × 92,096.91
  4. Step 4: Simplify right side
    281,627.82x = 38,914,256,279.88
  5. Step 5: Solve for x
    x = 38,914,256,279.88/281,627.82
  6. Step 6: Final answer
    x = 138,176.18

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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.