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Finding the Fourth Proportional to 203,474.80, 305,212.20 and 133,394.80

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Solution

The fourth proportional to 203,474.80, 305,212.20 and 133,394.80 is: 200,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.80 : 305,212.20 = 133,394.80 : x
  2. Step 2: Convert to fraction form
    203,474.80/305,212.20 = 133,394.80/x
  3. Step 3: Cross multiply
    203,474.80x = 305,212.20 × 133,394.80
  4. Step 4: Simplify right side
    203,474.80x = 40,713,720,376.56
  5. Step 5: Solve for x
    x = 40,713,720,376.56/203,474.80
  6. Step 6: Final answer
    x = 200,092.20

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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.