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Finding the Fourth Proportional to 135,164.88, 202,760.28 and 60,282

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Solution

The fourth proportional to 135,164.88, 202,760.28 and 60,282 is: 90,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,164.88 : 202,760.28 = 60,282 : x
  2. Step 2: Convert to fraction form
    135,164.88/202,760.28 = 60,282/x
  3. Step 3: Cross multiply
    135,164.88x = 202,760.28 × 60,282
  4. Step 4: Simplify right side
    135,164.88x = 12,222,795,198.96
  5. Step 5: Solve for x
    x = 12,222,795,198.96/135,164.88
  6. Step 6: Final answer
    x = 90,428.78

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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.