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Finding the Fourth Proportional to 172,685.68, 258,962.90 and 82,635.96

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Solution

The fourth proportional to 172,685.68, 258,962.90 and 82,635.96 is: 123,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,685.68 : 258,962.90 = 82,635.96 : x
  2. Step 2: Convert to fraction form
    172,685.68/258,962.90 = 82,635.96/x
  3. Step 3: Cross multiply
    172,685.68x = 258,962.90 × 82,635.96
  4. Step 4: Simplify right side
    172,685.68x = 21,399,647,845.88
  5. Step 5: Solve for x
    x = 21,399,647,845.88/172,685.68
  6. Step 6: Final answer
    x = 123,922.54

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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.