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Finding the Fourth Proportional to 203,988.87, 305,982.79 and 54,229.10

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Solution

The fourth proportional to 203,988.87, 305,982.79 and 54,229.10 is: 81,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,988.87 : 305,982.79 = 54,229.10 : x
  2. Step 2: Convert to fraction form
    203,988.87/305,982.79 = 54,229.10/x
  3. Step 3: Cross multiply
    203,988.87x = 305,982.79 × 54,229.10
  4. Step 4: Simplify right side
    203,988.87x = 16,593,169,651.70
  5. Step 5: Solve for x
    x = 16,593,169,651.70/203,988.87
  6. Step 6: Final answer
    x = 81,343.50

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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.