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Finding the Fourth Proportional to 265,291.82, 397,687.58 and 132,046.12

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Solution

The fourth proportional to 265,291.82, 397,687.58 and 132,046.12 is: 197,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,291.82 : 397,687.58 = 132,046.12 : x
  2. Step 2: Convert to fraction form
    265,291.82/397,687.58 = 132,046.12/x
  3. Step 3: Cross multiply
    265,291.82x = 397,687.58 × 132,046.12
  4. Step 4: Simplify right side
    265,291.82x = 52,513,099,757.69
  5. Step 5: Solve for x
    x = 52,513,099,757.69/265,291.82
  6. Step 6: Final answer
    x = 197,944.66

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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.