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Finding the Fourth Proportional to 129,206.85, 193,730.90 and 50,229.02

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Solution

The fourth proportional to 129,206.85, 193,730.90 and 50,229.02 is: 75,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206.85 : 193,730.90 = 50,229.02 : x
  2. Step 2: Convert to fraction form
    129,206.85/193,730.90 = 50,229.02/x
  3. Step 3: Cross multiply
    129,206.85x = 193,730.90 × 50,229.02
  4. Step 4: Simplify right side
    129,206.85x = 9,730,912,030.92
  5. Step 5: Solve for x
    x = 9,730,912,030.92/129,206.85
  6. Step 6: Final answer
    x = 75,312.66

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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.