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Finding the Fourth Proportional to 141,190.71, 194,847.17 and 83,815.98

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Solution

The fourth proportional to 141,190.71, 194,847.17 and 83,815.98 is: 115,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,190.71 : 194,847.17 = 83,815.98 : x
  2. Step 2: Convert to fraction form
    141,190.71/194,847.17 = 83,815.98/x
  3. Step 3: Cross multiply
    141,190.71x = 194,847.17 × 83,815.98
  4. Step 4: Simplify right side
    141,190.71x = 16,331,306,084.70
  5. Step 5: Solve for x
    x = 16,331,306,084.70/141,190.71
  6. Step 6: Final answer
    x = 115,668.42

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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.