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Finding the Fourth Proportional to 132,181.80, 198,230.82 and 43,414.68

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Solution

The fourth proportional to 132,181.80, 198,230.82 and 43,414.68 is: 65,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,181.80 : 198,230.82 = 43,414.68 : x
  2. Step 2: Convert to fraction form
    132,181.80/198,230.82 = 43,414.68/x
  3. Step 3: Cross multiply
    132,181.80x = 198,230.82 × 43,414.68
  4. Step 4: Simplify right side
    132,181.80x = 8,606,127,616.44
  5. Step 5: Solve for x
    x = 8,606,127,616.44/132,181.80
  6. Step 6: Final answer
    x = 65,108.26

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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.