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Finding the Fourth Proportional to 132,867.80, 199,032.90 and 82,794.20

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Solution

The fourth proportional to 132,867.80, 199,032.90 and 82,794.20 is: 124,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,867.80 : 199,032.90 = 82,794.20 : x
  2. Step 2: Convert to fraction form
    132,867.80/199,032.90 = 82,794.20/x
  3. Step 3: Cross multiply
    132,867.80x = 199,032.90 × 82,794.20
  4. Step 4: Simplify right side
    132,867.80x = 16,478,769,729.18
  5. Step 5: Solve for x
    x = 16,478,769,729.18/132,867.80
  6. Step 6: Final answer
    x = 124,023.80

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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.