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Finding the Fourth Proportional to 259,010.26, 387,797.93 and 132,377.83

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Solution

The fourth proportional to 259,010.26, 387,797.93 and 132,377.83 is: 198,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,010.26 : 387,797.93 = 132,377.83 : x
  2. Step 2: Convert to fraction form
    259,010.26/387,797.93 = 132,377.83/x
  3. Step 3: Cross multiply
    259,010.26x = 387,797.93 × 132,377.83
  4. Step 4: Simplify right side
    259,010.26x = 51,335,847,316.92
  5. Step 5: Solve for x
    x = 51,335,847,316.92/259,010.26
  6. Step 6: Final answer
    x = 198,200.06

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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.