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Finding the Fourth Proportional to 206,006.20, 308,717.70 and 180,928.60

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Solution

The fourth proportional to 206,006.20, 308,717.70 and 180,928.60 is: 271,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,006.20 : 308,717.70 = 180,928.60 : x
  2. Step 2: Convert to fraction form
    206,006.20/308,717.70 = 180,928.60/x
  3. Step 3: Cross multiply
    206,006.20x = 308,717.70 × 180,928.60
  4. Step 4: Simplify right side
    206,006.20x = 55,855,861,256.22
  5. Step 5: Solve for x
    x = 55,855,861,256.22/206,006.20
  6. Step 6: Final answer
    x = 271,136.80

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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.