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Finding the Fourth Proportional to 275,727.80, 413,591.70 and 157,411.10

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Solution

The fourth proportional to 275,727.80, 413,591.70 and 157,411.10 is: 236,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,727.80 : 413,591.70 = 157,411.10 : x
  2. Step 2: Convert to fraction form
    275,727.80/413,591.70 = 157,411.10/x
  3. Step 3: Cross multiply
    275,727.80x = 413,591.70 × 157,411.10
  4. Step 4: Simplify right side
    275,727.80x = 65,103,924,447.87
  5. Step 5: Solve for x
    x = 65,103,924,447.87/275,727.80
  6. Step 6: Final answer
    x = 236,116.65

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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.