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Finding the Fourth Proportional to 230,562.43, 345,876.01 and 80,768.43

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Solution

The fourth proportional to 230,562.43, 345,876.01 and 80,768.43 is: 121,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,562.43 : 345,876.01 = 80,768.43 : x
  2. Step 2: Convert to fraction form
    230,562.43/345,876.01 = 80,768.43/x
  3. Step 3: Cross multiply
    230,562.43x = 345,876.01 × 80,768.43
  4. Step 4: Simplify right side
    230,562.43x = 27,935,862,100.44
  5. Step 5: Solve for x
    x = 27,935,862,100.44/230,562.43
  6. Step 6: Final answer
    x = 121,163.98

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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.