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Finding the Fourth Proportional to 206,657.49, 285,321.81 and 126,131.70

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Solution

The fourth proportional to 206,657.49, 285,321.81 and 126,131.70 is: 174,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.49 : 285,321.81 = 126,131.70 : x
  2. Step 2: Convert to fraction form
    206,657.49/285,321.81 = 126,131.70/x
  3. Step 3: Cross multiply
    206,657.49x = 285,321.81 × 126,131.70
  4. Step 4: Simplify right side
    206,657.49x = 35,988,124,942.38
  5. Step 5: Solve for x
    x = 35,988,124,942.38/206,657.49
  6. Step 6: Final answer
    x = 174,143.82

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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.