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Finding the Fourth Proportional to 203,811.80, 305,717.70 and 137,456.60

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Solution

The fourth proportional to 203,811.80, 305,717.70 and 137,456.60 is: 206,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,811.80 : 305,717.70 = 137,456.60 : x
  2. Step 2: Convert to fraction form
    203,811.80/305,717.70 = 137,456.60/x
  3. Step 3: Cross multiply
    203,811.80x = 305,717.70 × 137,456.60
  4. Step 4: Simplify right side
    203,811.80x = 42,022,915,601.82
  5. Step 5: Solve for x
    x = 42,022,915,601.82/203,811.80
  6. Step 6: Final answer
    x = 206,184.90

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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.