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Finding the Fourth Proportional to 281,542.52, 422,226.36 and 101,604.56

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Solution

The fourth proportional to 281,542.52, 422,226.36 and 101,604.56 is: 152,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,542.52 : 422,226.36 = 101,604.56 : x
  2. Step 2: Convert to fraction form
    281,542.52/422,226.36 = 101,604.56/x
  3. Step 3: Cross multiply
    281,542.52x = 422,226.36 × 101,604.56
  4. Step 4: Simplify right side
    281,542.52x = 42,900,123,528.20
  5. Step 5: Solve for x
    x = 42,900,123,528.20/281,542.52
  6. Step 6: Final answer
    x = 152,375.29

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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.