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Finding the Fourth Proportional to 308,122.20, 462,183.30 and 189,408.60

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Solution

The fourth proportional to 308,122.20, 462,183.30 and 189,408.60 is: 284,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,122.20 : 462,183.30 = 189,408.60 : x
  2. Step 2: Convert to fraction form
    308,122.20/462,183.30 = 189,408.60/x
  3. Step 3: Cross multiply
    308,122.20x = 462,183.30 × 189,408.60
  4. Step 4: Simplify right side
    308,122.20x = 87,541,491,796.38
  5. Step 5: Solve for x
    x = 87,541,491,796.38/308,122.20
  6. Step 6: Final answer
    x = 284,112.90

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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.