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Finding the Fourth Proportional to 203,906.70, 305,860.05 and 133,047.90

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Solution

The fourth proportional to 203,906.70, 305,860.05 and 133,047.90 is: 199,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.70 : 305,860.05 = 133,047.90 : x
  2. Step 2: Convert to fraction form
    203,906.70/305,860.05 = 133,047.90/x
  3. Step 3: Cross multiply
    203,906.70x = 305,860.05 × 133,047.90
  4. Step 4: Simplify right side
    203,906.70x = 40,694,037,346.40
  5. Step 5: Solve for x
    x = 40,694,037,346.40/203,906.70
  6. Step 6: Final answer
    x = 199,571.85

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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.