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Finding the Fourth Proportional to 129,638.80, 194,227.80 and 111,206.80

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Solution

The fourth proportional to 129,638.80, 194,227.80 and 111,206.80 is: 166,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.80 : 194,227.80 = 111,206.80 : x
  2. Step 2: Convert to fraction form
    129,638.80/194,227.80 = 111,206.80/x
  3. Step 3: Cross multiply
    129,638.80x = 194,227.80 × 111,206.80
  4. Step 4: Simplify right side
    129,638.80x = 21,599,452,109.04
  5. Step 5: Solve for x
    x = 21,599,452,109.04/129,638.80
  6. Step 6: Final answer
    x = 166,612.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.