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Finding the Fourth Proportional to 141,843.06, 195,741 and 78,186.78

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Solution

The fourth proportional to 141,843.06, 195,741 and 78,186.78 is: 107,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.06 : 195,741 = 78,186.78 : x
  2. Step 2: Convert to fraction form
    141,843.06/195,741 = 78,186.78/x
  3. Step 3: Cross multiply
    141,843.06x = 195,741 × 78,186.78
  4. Step 4: Simplify right side
    141,843.06x = 15,304,358,503.98
  5. Step 5: Solve for x
    x = 15,304,358,503.98/141,843.06
  6. Step 6: Final answer
    x = 107,896.42

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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.