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Finding the Fourth Proportional to 275,997.20, 413,957.40 and 89,027.60

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Solution

The fourth proportional to 275,997.20, 413,957.40 and 89,027.60 is: 133,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,997.20 : 413,957.40 = 89,027.60 : x
  2. Step 2: Convert to fraction form
    275,997.20/413,957.40 = 89,027.60/x
  3. Step 3: Cross multiply
    275,997.20x = 413,957.40 × 89,027.60
  4. Step 4: Simplify right side
    275,997.20x = 36,853,633,824.24
  5. Step 5: Solve for x
    x = 36,853,633,824.24/275,997.20
  6. Step 6: Final answer
    x = 133,529.01

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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.