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Finding the Fourth Proportional to 132,400.82, 198,590.42 and 43,652.90

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Solution

The fourth proportional to 132,400.82, 198,590.42 and 43,652.90 is: 65,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,400.82 : 198,590.42 = 43,652.90 : x
  2. Step 2: Convert to fraction form
    132,400.82/198,590.42 = 43,652.90/x
  3. Step 3: Cross multiply
    132,400.82x = 198,590.42 × 43,652.90
  4. Step 4: Simplify right side
    132,400.82x = 8,669,047,745.22
  5. Step 5: Solve for x
    x = 8,669,047,745.22/132,400.82
  6. Step 6: Final answer
    x = 65,475.79

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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.