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Finding the Fourth Proportional to 92,198.68, 138,240.74 and 38,863.22

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Solution

The fourth proportional to 92,198.68, 138,240.74 and 38,863.22 is: 58,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.68 : 138,240.74 = 38,863.22 : x
  2. Step 2: Convert to fraction form
    92,198.68/138,240.74 = 38,863.22/x
  3. Step 3: Cross multiply
    92,198.68x = 138,240.74 × 38,863.22
  4. Step 4: Simplify right side
    92,198.68x = 5,372,479,697.54
  5. Step 5: Solve for x
    x = 5,372,479,697.54/92,198.68
  6. Step 6: Final answer
    x = 58,270.68

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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.