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Finding the Fourth Proportional to 311,027.10, 466,195.05 and 133,503.90

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Solution

The fourth proportional to 311,027.10, 466,195.05 and 133,503.90 is: 200,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,027.10 : 466,195.05 = 133,503.90 : x
  2. Step 2: Convert to fraction form
    311,027.10/466,195.05 = 133,503.90/x
  3. Step 3: Cross multiply
    311,027.10x = 466,195.05 × 133,503.90
  4. Step 4: Simplify right side
    311,027.10x = 62,238,857,335.70
  5. Step 5: Solve for x
    x = 62,238,857,335.70/311,027.10
  6. Step 6: Final answer
    x = 200,107.51

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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.