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Finding the Fourth Proportional to 177,685.92, 266,343.12 and 84,080.16

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Solution

The fourth proportional to 177,685.92, 266,343.12 and 84,080.16 is: 126,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,685.92 : 266,343.12 = 84,080.16 : x
  2. Step 2: Convert to fraction form
    177,685.92/266,343.12 = 84,080.16/x
  3. Step 3: Cross multiply
    177,685.92x = 266,343.12 × 84,080.16
  4. Step 4: Simplify right side
    177,685.92x = 22,394,172,144.50
  5. Step 5: Solve for x
    x = 22,394,172,144.50/177,685.92
  6. Step 6: Final answer
    x = 126,032.34

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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.