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Finding the Fourth Proportional to 141,807.75, 195,695.34 and 78,144.18

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Solution

The fourth proportional to 141,807.75, 195,695.34 and 78,144.18 is: 107,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,807.75 : 195,695.34 = 78,144.18 : x
  2. Step 2: Convert to fraction form
    141,807.75/195,695.34 = 78,144.18/x
  3. Step 3: Cross multiply
    141,807.75x = 195,695.34 × 78,144.18
  4. Step 4: Simplify right side
    141,807.75x = 15,292,451,874.12
  5. Step 5: Solve for x
    x = 15,292,451,874.12/141,807.75
  6. Step 6: Final answer
    x = 107,839.32

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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.