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Finding the Fourth Proportional to 106,162.92, 159,249.96 and 27,277.68

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Solution

The fourth proportional to 106,162.92, 159,249.96 and 27,277.68 is: 40,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.92 : 159,249.96 = 27,277.68 : x
  2. Step 2: Convert to fraction form
    106,162.92/159,249.96 = 27,277.68/x
  3. Step 3: Cross multiply
    106,162.92x = 159,249.96 × 27,277.68
  4. Step 4: Simplify right side
    106,162.92x = 4,343,969,448.89
  5. Step 5: Solve for x
    x = 4,343,969,448.89/106,162.92
  6. Step 6: Final answer
    x = 40,917.95

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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.