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Finding the Fourth Proportional to 198,465.66, 273,879.29 and 107,823.02

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Solution

The fourth proportional to 198,465.66, 273,879.29 and 107,823.02 is: 148,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,465.66 : 273,879.29 = 107,823.02 : x
  2. Step 2: Convert to fraction form
    198,465.66/273,879.29 = 107,823.02/x
  3. Step 3: Cross multiply
    198,465.66x = 273,879.29 × 107,823.02
  4. Step 4: Simplify right side
    198,465.66x = 29,530,491,063.42
  5. Step 5: Solve for x
    x = 29,530,491,063.42/198,465.66
  6. Step 6: Final answer
    x = 148,793.96

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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.