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Finding the Fourth Proportional to 132,793.55, 197,781.75 and 132,150

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Solution

The fourth proportional to 132,793.55, 197,781.75 and 132,150 is: 196,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,793.55 : 197,781.75 = 132,150 : x
  2. Step 2: Convert to fraction form
    132,793.55/197,781.75 = 132,150/x
  3. Step 3: Cross multiply
    132,793.55x = 197,781.75 × 132,150
  4. Step 4: Simplify right side
    132,793.55x = 26,136,858,262.50
  5. Step 5: Solve for x
    x = 26,136,858,262.50/132,793.55
  6. Step 6: Final answer
    x = 196,823.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.