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Finding the Fourth Proportional to 135,874.80, 187,525.53 and 82,162.08

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Solution

The fourth proportional to 135,874.80, 187,525.53 and 82,162.08 is: 113,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,874.80 : 187,525.53 = 82,162.08 : x
  2. Step 2: Convert to fraction form
    135,874.80/187,525.53 = 82,162.08/x
  3. Step 3: Cross multiply
    135,874.80x = 187,525.53 × 82,162.08
  4. Step 4: Simplify right side
    135,874.80x = 15,407,487,597.90
  5. Step 5: Solve for x
    x = 15,407,487,597.90/135,874.80
  6. Step 6: Final answer
    x = 113,394.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.