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Finding the Fourth Proportional to 141,878.10, 195,793.14 and 78,218.18

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Solution

The fourth proportional to 141,878.10, 195,793.14 and 78,218.18 is: 107,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.10 : 195,793.14 = 78,218.18 : x
  2. Step 2: Convert to fraction form
    141,878.10/195,793.14 = 78,218.18/x
  3. Step 3: Cross multiply
    141,878.10x = 195,793.14 × 78,218.18
  4. Step 4: Simplify right side
    141,878.10x = 15,314,583,067.29
  5. Step 5: Solve for x
    x = 15,314,583,067.29/141,878.10
  6. Step 6: Final answer
    x = 107,941.84

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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.