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Finding the Fourth Proportional to 204,462.20, 306,037.20 and 159,847.40

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Solution

The fourth proportional to 204,462.20, 306,037.20 and 159,847.40 is: 239,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,462.20 : 306,037.20 = 159,847.40 : x
  2. Step 2: Convert to fraction form
    204,462.20/306,037.20 = 159,847.40/x
  3. Step 3: Cross multiply
    204,462.20x = 306,037.20 × 159,847.40
  4. Step 4: Simplify right side
    204,462.20x = 48,919,250,723.28
  5. Step 5: Solve for x
    x = 48,919,250,723.28/204,462.20
  6. Step 6: Final answer
    x = 239,258.16

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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.