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Finding the Fourth Proportional to 275,732.58, 413,640.90 and 140,722.92

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Solution

The fourth proportional to 275,732.58, 413,640.90 and 140,722.92 is: 211,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,732.58 : 413,640.90 = 140,722.92 : x
  2. Step 2: Convert to fraction form
    275,732.58/413,640.90 = 140,722.92/x
  3. Step 3: Cross multiply
    275,732.58x = 413,640.90 × 140,722.92
  4. Step 4: Simplify right side
    275,732.58x = 58,208,755,279.43
  5. Step 5: Solve for x
    x = 58,208,755,279.43/275,732.58
  6. Step 6: Final answer
    x = 211,105.83

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1.5x scale

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.