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Finding the Fourth Proportional to 141,229.34, 194,930.10 and 80,834.84

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Solution

The fourth proportional to 141,229.34, 194,930.10 and 80,834.84 is: 111,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,229.34 : 194,930.10 = 80,834.84 : x
  2. Step 2: Convert to fraction form
    141,229.34/194,930.10 = 80,834.84/x
  3. Step 3: Cross multiply
    141,229.34x = 194,930.10 × 80,834.84
  4. Step 4: Simplify right side
    141,229.34x = 15,757,143,444.68
  5. Step 5: Solve for x
    x = 15,757,143,444.68/141,229.34
  6. Step 6: Final answer
    x = 111,571.32

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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.