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Finding the Fourth Proportional to 203,914.20, 305,871.30 and 188,167.80

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Solution

The fourth proportional to 203,914.20, 305,871.30 and 188,167.80 is: 282,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914.20 : 305,871.30 = 188,167.80 : x
  2. Step 2: Convert to fraction form
    203,914.20/305,871.30 = 188,167.80/x
  3. Step 3: Cross multiply
    203,914.20x = 305,871.30 × 188,167.80
  4. Step 4: Simplify right side
    203,914.20x = 57,555,129,604.14
  5. Step 5: Solve for x
    x = 57,555,129,604.14/203,914.20
  6. Step 6: Final answer
    x = 282,251.70

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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.