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Finding the Fourth Proportional to 222,336.85, 332,671.77 and 132,049

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Solution

The fourth proportional to 222,336.85, 332,671.77 and 132,049 is: 197,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,336.85 : 332,671.77 = 132,049 : x
  2. Step 2: Convert to fraction form
    222,336.85/332,671.77 = 132,049/x
  3. Step 3: Cross multiply
    222,336.85x = 332,671.77 × 132,049
  4. Step 4: Simplify right side
    222,336.85x = 43,928,974,556.73
  5. Step 5: Solve for x
    x = 43,928,974,556.73/222,336.85
  6. Step 6: Final answer
    x = 197,578.47

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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.