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Finding the Fourth Proportional to 167,761.38, 231,435.46 and 113,295.86

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Solution

The fourth proportional to 167,761.38, 231,435.46 and 113,295.86 is: 156,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,761.38 : 231,435.46 = 113,295.86 : x
  2. Step 2: Convert to fraction form
    167,761.38/231,435.46 = 113,295.86/x
  3. Step 3: Cross multiply
    167,761.38x = 231,435.46 × 113,295.86
  4. Step 4: Simplify right side
    167,761.38x = 26,220,678,034.78
  5. Step 5: Solve for x
    x = 26,220,678,034.78/167,761.38
  6. Step 6: Final answer
    x = 156,297.46

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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.