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Finding the Fourth Proportional to 136,687.82, 204,934.52 and 52,376.54

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Solution

The fourth proportional to 136,687.82, 204,934.52 and 52,376.54 is: 78,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,687.82 : 204,934.52 = 52,376.54 : x
  2. Step 2: Convert to fraction form
    136,687.82/204,934.52 = 52,376.54/x
  3. Step 3: Cross multiply
    136,687.82x = 204,934.52 × 52,376.54
  4. Step 4: Simplify right side
    136,687.82x = 10,733,761,084.16
  5. Step 5: Solve for x
    x = 10,733,761,084.16/136,687.82
  6. Step 6: Final answer
    x = 78,527.56

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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.