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Finding the Fourth Proportional to 141,878.24, 195,793.48 and 78,218.31

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Solution

The fourth proportional to 141,878.24, 195,793.48 and 78,218.31 is: 107,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.24 : 195,793.48 = 78,218.31 : x
  2. Step 2: Convert to fraction form
    141,878.24/195,793.48 = 78,218.31/x
  3. Step 3: Cross multiply
    141,878.24x = 195,793.48 × 78,218.31
  4. Step 4: Simplify right side
    141,878.24x = 15,314,635,114.62
  5. Step 5: Solve for x
    x = 15,314,635,114.62/141,878.24
  6. Step 6: Final answer
    x = 107,942.10

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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.