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Finding the Fourth Proportional to 136,759.82, 205,231.32 and 48,013.58

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Solution

The fourth proportional to 136,759.82, 205,231.32 and 48,013.58 is: 72,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,759.82 : 205,231.32 = 48,013.58 : x
  2. Step 2: Convert to fraction form
    136,759.82/205,231.32 = 48,013.58/x
  3. Step 3: Cross multiply
    136,759.82x = 205,231.32 × 48,013.58
  4. Step 4: Simplify right side
    136,759.82x = 9,853,889,375.17
  5. Step 5: Solve for x
    x = 9,853,889,375.17/136,759.82
  6. Step 6: Final answer
    x = 72,052.52

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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.