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Finding the Fourth Proportional to 231,859.80, 347,789.70 and 113,761.80

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Solution

The fourth proportional to 231,859.80, 347,789.70 and 113,761.80 is: 170,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,859.80 : 347,789.70 = 113,761.80 : x
  2. Step 2: Convert to fraction form
    231,859.80/347,789.70 = 113,761.80/x
  3. Step 3: Cross multiply
    231,859.80x = 347,789.70 × 113,761.80
  4. Step 4: Simplify right side
    231,859.80x = 39,565,182,293.46
  5. Step 5: Solve for x
    x = 39,565,182,293.46/231,859.80
  6. Step 6: Final answer
    x = 170,642.70

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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.