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Finding the Fourth Proportional to 275,771.26, 413,463.92 and 140,877.10

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Solution

The fourth proportional to 275,771.26, 413,463.92 and 140,877.10 is: 211,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,771.26 : 413,463.92 = 140,877.10 : x
  2. Step 2: Convert to fraction form
    275,771.26/413,463.92 = 140,877.10/x
  3. Step 3: Cross multiply
    275,771.26x = 413,463.92 × 140,877.10
  4. Step 4: Simplify right side
    275,771.26x = 58,247,597,299.85
  5. Step 5: Solve for x
    x = 58,247,597,299.85/275,771.26
  6. Step 6: Final answer
    x = 211,217.07

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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.