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Finding the Fourth Proportional to 218,472.30, 327,835.77 and 92,104.83

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Solution

The fourth proportional to 218,472.30, 327,835.77 and 92,104.83 is: 138,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472.30 : 327,835.77 = 92,104.83 : x
  2. Step 2: Convert to fraction form
    218,472.30/327,835.77 = 92,104.83/x
  3. Step 3: Cross multiply
    218,472.30x = 327,835.77 × 92,104.83
  4. Step 4: Simplify right side
    218,472.30x = 30,195,257,863.77
  5. Step 5: Solve for x
    x = 30,195,257,863.77/218,472.30
  6. Step 6: Final answer
    x = 138,210.92

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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.