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Finding the Fourth Proportional to 129,206.16, 193,771.80 and 50,302.80

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Solution

The fourth proportional to 129,206.16, 193,771.80 and 50,302.80 is: 75,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206.16 : 193,771.80 = 50,302.80 : x
  2. Step 2: Convert to fraction form
    129,206.16/193,771.80 = 50,302.80/x
  3. Step 3: Cross multiply
    129,206.16x = 193,771.80 × 50,302.80
  4. Step 4: Simplify right side
    129,206.16x = 9,747,264,101.04
  5. Step 5: Solve for x
    x = 9,747,264,101.04/129,206.16
  6. Step 6: Final answer
    x = 75,439.62

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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.