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Finding the Fourth Proportional to 381,135.60, 571,930.20 and 144,502.20

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Solution

The fourth proportional to 381,135.60, 571,930.20 and 144,502.20 is: 216,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,135.60 : 571,930.20 = 144,502.20 : x
  2. Step 2: Convert to fraction form
    381,135.60/571,930.20 = 144,502.20/x
  3. Step 3: Cross multiply
    381,135.60x = 571,930.20 × 144,502.20
  4. Step 4: Simplify right side
    381,135.60x = 82,645,172,146.44
  5. Step 5: Solve for x
    x = 82,645,172,146.44/381,135.60
  6. Step 6: Final answer
    x = 216,839.29

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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.