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Finding the Fourth Proportional to 218,461.41, 327,819.49 and 92,093.92

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Solution

The fourth proportional to 218,461.41, 327,819.49 and 92,093.92 is: 138,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,461.41 : 327,819.49 = 92,093.92 : x
  2. Step 2: Convert to fraction form
    218,461.41/327,819.49 = 92,093.92/x
  3. Step 3: Cross multiply
    218,461.41x = 327,819.49 × 92,093.92
  4. Step 4: Simplify right side
    218,461.41x = 30,190,180,836.72
  5. Step 5: Solve for x
    x = 30,190,180,836.72/218,461.41
  6. Step 6: Final answer
    x = 138,194.57

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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.