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Finding the Fourth Proportional to 150,654.74, 207,902.97 and 82,672.85

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Solution

The fourth proportional to 150,654.74, 207,902.97 and 82,672.85 is: 114,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,654.74 : 207,902.97 = 82,672.85 : x
  2. Step 2: Convert to fraction form
    150,654.74/207,902.97 = 82,672.85/x
  3. Step 3: Cross multiply
    150,654.74x = 207,902.97 × 82,672.85
  4. Step 4: Simplify right side
    150,654.74x = 17,187,931,053.36
  5. Step 5: Solve for x
    x = 17,187,931,053.36/150,654.74
  6. Step 6: Final answer
    x = 114,088.22

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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.