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Finding the Fourth Proportional to 144,051.39, 198,761.25 and 82,785.78

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Solution

The fourth proportional to 144,051.39, 198,761.25 and 82,785.78 is: 114,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051.39 : 198,761.25 = 82,785.78 : x
  2. Step 2: Convert to fraction form
    144,051.39/198,761.25 = 82,785.78/x
  3. Step 3: Cross multiply
    144,051.39x = 198,761.25 × 82,785.78
  4. Step 4: Simplify right side
    144,051.39x = 16,454,605,115.03
  5. Step 5: Solve for x
    x = 16,454,605,115.03/144,051.39
  6. Step 6: Final answer
    x = 114,227.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.