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Finding the Fourth Proportional to 132,644.28, 198,933.62 and 82,698.67

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Solution

The fourth proportional to 132,644.28, 198,933.62 and 82,698.67 is: 124,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,644.28 : 198,933.62 = 82,698.67 : x
  2. Step 2: Convert to fraction form
    132,644.28/198,933.62 = 82,698.67/x
  3. Step 3: Cross multiply
    132,644.28x = 198,933.62 × 82,698.67
  4. Step 4: Simplify right side
    132,644.28x = 16,451,546,092.64
  5. Step 5: Solve for x
    x = 16,451,546,092.64/132,644.28
  6. Step 6: Final answer
    x = 124,027.55

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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.