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Finding the Fourth Proportional to 230,331.30, 345,286.42 and 195,020.12

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Solution

The fourth proportional to 230,331.30, 345,286.42 and 195,020.12 is: 292,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,331.30 : 345,286.42 = 195,020.12 : x
  2. Step 2: Convert to fraction form
    230,331.30/345,286.42 = 195,020.12/x
  3. Step 3: Cross multiply
    230,331.30x = 345,286.42 × 195,020.12
  4. Step 4: Simplify right side
    230,331.30x = 67,337,799,062.77
  5. Step 5: Solve for x
    x = 67,337,799,062.77/230,331.30
  6. Step 6: Final answer
    x = 292,351.93

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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.