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Finding the Fourth Proportional to 132,138.96, 198,209.72 and 33,642.96

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Solution

The fourth proportional to 132,138.96, 198,209.72 and 33,642.96 is: 50,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,138.96 : 198,209.72 = 33,642.96 : x
  2. Step 2: Convert to fraction form
    132,138.96/198,209.72 = 33,642.96/x
  3. Step 3: Cross multiply
    132,138.96x = 198,209.72 × 33,642.96
  4. Step 4: Simplify right side
    132,138.96x = 6,668,361,681.57
  5. Step 5: Solve for x
    x = 6,668,361,681.57/132,138.96
  6. Step 6: Final answer
    x = 50,464.77

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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.