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Finding the Fourth Proportional to 141,857, 195,764 and 78,197.08

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Solution

The fourth proportional to 141,857, 195,764 and 78,197.08 is: 107,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,857 : 195,764 = 78,197.08 : x
  2. Step 2: Convert to fraction form
    141,857/195,764 = 78,197.08/x
  3. Step 3: Cross multiply
    141,857x = 195,764 × 78,197.08
  4. Step 4: Simplify right side
    141,857x = 15,308,173,169.12
  5. Step 5: Solve for x
    x = 15,308,173,169.12/141,857
  6. Step 6: Final answer
    x = 107,912.71

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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.