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Finding the Fourth Proportional to 192,229.40, 288,635.70 and 147,906.20

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Solution

The fourth proportional to 192,229.40, 288,635.70 and 147,906.20 is: 222,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,229.40 : 288,635.70 = 147,906.20 : x
  2. Step 2: Convert to fraction form
    192,229.40/288,635.70 = 147,906.20/x
  3. Step 3: Cross multiply
    192,229.40x = 288,635.70 × 147,906.20
  4. Step 4: Simplify right side
    192,229.40x = 42,691,009,571.34
  5. Step 5: Solve for x
    x = 42,691,009,571.34/192,229.40
  6. Step 6: Final answer
    x = 222,083.66

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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.