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Finding the Fourth Proportional to 207,057.62, 285,732.13 and 115,176.48

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Solution

The fourth proportional to 207,057.62, 285,732.13 and 115,176.48 is: 158,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,057.62 : 285,732.13 = 115,176.48 : x
  2. Step 2: Convert to fraction form
    207,057.62/285,732.13 = 115,176.48/x
  3. Step 3: Cross multiply
    207,057.62x = 285,732.13 × 115,176.48
  4. Step 4: Simplify right side
    207,057.62x = 32,909,620,956.30
  5. Step 5: Solve for x
    x = 32,909,620,956.30/207,057.62
  6. Step 6: Final answer
    x = 158,939.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.