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Finding the Fourth Proportional to 132,046.90, 197,851.65 and 112,363.90

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Solution

The fourth proportional to 132,046.90, 197,851.65 and 112,363.90 is: 168,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046.90 : 197,851.65 = 112,363.90 : x
  2. Step 2: Convert to fraction form
    132,046.90/197,851.65 = 112,363.90/x
  3. Step 3: Cross multiply
    132,046.90x = 197,851.65 × 112,363.90
  4. Step 4: Simplify right side
    132,046.90x = 22,231,383,015.44
  5. Step 5: Solve for x
    x = 22,231,383,015.44/132,046.90
  6. Step 6: Final answer
    x = 168,359.75

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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.