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Finding the Fourth Proportional to 143,542.85, 198,085.82 and 78,129.68

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Solution

The fourth proportional to 143,542.85, 198,085.82 and 78,129.68 is: 107,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542.85 : 198,085.82 = 78,129.68 : x
  2. Step 2: Convert to fraction form
    143,542.85/198,085.82 = 78,129.68/x
  3. Step 3: Cross multiply
    143,542.85x = 198,085.82 × 78,129.68
  4. Step 4: Simplify right side
    143,542.85x = 15,476,380,348.06
  5. Step 5: Solve for x
    x = 15,476,380,348.06/143,542.85
  6. Step 6: Final answer
    x = 107,817.15

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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.