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Finding the Fourth Proportional to 141,908.40, 195,834 and 78,244.80

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Solution

The fourth proportional to 141,908.40, 195,834 and 78,244.80 is: 107,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,908.40 : 195,834 = 78,244.80 : x
  2. Step 2: Convert to fraction form
    141,908.40/195,834 = 78,244.80/x
  3. Step 3: Cross multiply
    141,908.40x = 195,834 × 78,244.80
  4. Step 4: Simplify right side
    141,908.40x = 15,322,992,163.20
  5. Step 5: Solve for x
    x = 15,322,992,163.20/141,908.40
  6. Step 6: Final answer
    x = 107,978.05

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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.