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Finding the Fourth Proportional to 204,482.20, 306,067.20 and 145,433.20

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Solution

The fourth proportional to 204,482.20, 306,067.20 and 145,433.20 is: 217,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,482.20 : 306,067.20 = 145,433.20 : x
  2. Step 2: Convert to fraction form
    204,482.20/306,067.20 = 145,433.20/x
  3. Step 3: Cross multiply
    204,482.20x = 306,067.20 × 145,433.20
  4. Step 4: Simplify right side
    204,482.20x = 44,512,332,311.04
  5. Step 5: Solve for x
    x = 44,512,332,311.04/204,482.20
  6. Step 6: Final answer
    x = 217,683.16

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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.