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Finding the Fourth Proportional to 175,687.62, 263,200.77 and 86,837.10

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Solution

The fourth proportional to 175,687.62, 263,200.77 and 86,837.10 is: 130,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,687.62 : 263,200.77 = 86,837.10 : x
  2. Step 2: Convert to fraction form
    175,687.62/263,200.77 = 86,837.10/x
  3. Step 3: Cross multiply
    175,687.62x = 263,200.77 × 86,837.10
  4. Step 4: Simplify right side
    175,687.62x = 22,855,591,584.57
  5. Step 5: Solve for x
    x = 22,855,591,584.57/175,687.62
  6. Step 6: Final answer
    x = 130,092.21

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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.