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Finding the Fourth Proportional to 230,231.43, 317,706.98 and 126,862.38

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Solution

The fourth proportional to 230,231.43, 317,706.98 and 126,862.38 is: 175,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231.43 : 317,706.98 = 126,862.38 : x
  2. Step 2: Convert to fraction form
    230,231.43/317,706.98 = 126,862.38/x
  3. Step 3: Cross multiply
    230,231.43x = 317,706.98 × 126,862.38
  4. Step 4: Simplify right side
    230,231.43x = 40,305,062,991.10
  5. Step 5: Solve for x
    x = 40,305,062,991.10/230,231.43
  6. Step 6: Final answer
    x = 175,063.25

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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.