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Finding the Fourth Proportional to 234,452.40, 351,471.24 and 109,759.92

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Solution

The fourth proportional to 234,452.40, 351,471.24 and 109,759.92 is: 164,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,452.40 : 351,471.24 = 109,759.92 : x
  2. Step 2: Convert to fraction form
    234,452.40/351,471.24 = 109,759.92/x
  3. Step 3: Cross multiply
    234,452.40x = 351,471.24 × 109,759.92
  4. Step 4: Simplify right side
    234,452.40x = 38,577,455,184.70
  5. Step 5: Solve for x
    x = 38,577,455,184.70/234,452.40
  6. Step 6: Final answer
    x = 164,542.80

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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.