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Finding the Fourth Proportional to 136,456.50, 204,458.47 and 82,986.75

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Solution

The fourth proportional to 136,456.50, 204,458.47 and 82,986.75 is: 124,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,456.50 : 204,458.47 = 82,986.75 : x
  2. Step 2: Convert to fraction form
    136,456.50/204,458.47 = 82,986.75/x
  3. Step 3: Cross multiply
    136,456.50x = 204,458.47 × 82,986.75
  4. Step 4: Simplify right side
    136,456.50x = 16,967,342,498.05
  5. Step 5: Solve for x
    x = 16,967,342,498.05/136,456.50
  6. Step 6: Final answer
    x = 124,342.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.