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Finding the Fourth Proportional to 206,491.80, 309,737.70 and 81,816.60

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Solution

The fourth proportional to 206,491.80, 309,737.70 and 81,816.60 is: 122,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491.80 : 309,737.70 = 81,816.60 : x
  2. Step 2: Convert to fraction form
    206,491.80/309,737.70 = 81,816.60/x
  3. Step 3: Cross multiply
    206,491.80x = 309,737.70 × 81,816.60
  4. Step 4: Simplify right side
    206,491.80x = 25,341,685,505.82
  5. Step 5: Solve for x
    x = 25,341,685,505.82/206,491.80
  6. Step 6: Final answer
    x = 122,724.90

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Why These Related Problems?

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