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Finding the Fourth Proportional to 139,246.74, 192,092.76 and 82,618.02

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Solution

The fourth proportional to 139,246.74, 192,092.76 and 82,618.02 is: 113,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,246.74 : 192,092.76 = 82,618.02 : x
  2. Step 2: Convert to fraction form
    139,246.74/192,092.76 = 82,618.02/x
  3. Step 3: Cross multiply
    139,246.74x = 192,092.76 × 82,618.02
  4. Step 4: Simplify right side
    139,246.74x = 15,870,323,487.54
  5. Step 5: Solve for x
    x = 15,870,323,487.54/139,246.74
  6. Step 6: Final answer
    x = 113,972.68

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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.