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Finding the Fourth Proportional to 198,403.50, 273,797.46 and 117,834.42

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Solution

The fourth proportional to 198,403.50, 273,797.46 and 117,834.42 is: 162,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,403.50 : 273,797.46 = 117,834.42 : x
  2. Step 2: Convert to fraction form
    198,403.50/273,797.46 = 117,834.42/x
  3. Step 3: Cross multiply
    198,403.50x = 273,797.46 × 117,834.42
  4. Step 4: Simplify right side
    198,403.50x = 32,262,764,896.57
  5. Step 5: Solve for x
    x = 32,262,764,896.57/198,403.50
  6. Step 6: Final answer
    x = 162,611.87

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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.