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Finding the Fourth Proportional to 273,452.10, 409,522.05 and 133,046.70

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Solution

The fourth proportional to 273,452.10, 409,522.05 and 133,046.70 is: 199,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,452.10 : 409,522.05 = 133,046.70 : x
  2. Step 2: Convert to fraction form
    273,452.10/409,522.05 = 133,046.70/x
  3. Step 3: Cross multiply
    273,452.10x = 409,522.05 × 133,046.70
  4. Step 4: Simplify right side
    273,452.10x = 54,485,557,329.74
  5. Step 5: Solve for x
    x = 54,485,557,329.74/273,452.10
  6. Step 6: Final answer
    x = 199,250.83

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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.