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Finding the Fourth Proportional to 203,471.30, 305,206.95 and 133,391.30

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Solution

The fourth proportional to 203,471.30, 305,206.95 and 133,391.30 is: 200,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,471.30 : 305,206.95 = 133,391.30 : x
  2. Step 2: Convert to fraction form
    203,471.30/305,206.95 = 133,391.30/x
  3. Step 3: Cross multiply
    203,471.30x = 305,206.95 × 133,391.30
  4. Step 4: Simplify right side
    203,471.30x = 40,711,951,829.54
  5. Step 5: Solve for x
    x = 40,711,951,829.54/203,471.30
  6. Step 6: Final answer
    x = 200,086.95

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1.5x scale

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.