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Finding the Fourth Proportional to 275,760.30, 413,640.45 and 88,771.80

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Solution

The fourth proportional to 275,760.30, 413,640.45 and 88,771.80 is: 133,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,760.30 : 413,640.45 = 88,771.80 : x
  2. Step 2: Convert to fraction form
    275,760.30/413,640.45 = 88,771.80/x
  3. Step 3: Cross multiply
    275,760.30x = 413,640.45 × 88,771.80
  4. Step 4: Simplify right side
    275,760.30x = 36,719,607,299.31
  5. Step 5: Solve for x
    x = 36,719,607,299.31/275,760.30
  6. Step 6: Final answer
    x = 133,157.70

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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.