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Finding the Fourth Proportional to 275,746.30, 413,619.45 and 88,757.80

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Solution

The fourth proportional to 275,746.30, 413,619.45 and 88,757.80 is: 133,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,746.30 : 413,619.45 = 88,757.80 : x
  2. Step 2: Convert to fraction form
    275,746.30/413,619.45 = 88,757.80/x
  3. Step 3: Cross multiply
    275,746.30x = 413,619.45 × 88,757.80
  4. Step 4: Simplify right side
    275,746.30x = 36,711,952,419.21
  5. Step 5: Solve for x
    x = 36,711,952,419.21/275,746.30
  6. Step 6: Final answer
    x = 133,136.70

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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.