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Finding the Fourth Proportional to 198,399.92, 273,749.29 and 117,854.60

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Solution

The fourth proportional to 198,399.92, 273,749.29 and 117,854.60 is: 162,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,399.92 : 273,749.29 = 117,854.60 : x
  2. Step 2: Convert to fraction form
    198,399.92/273,749.29 = 117,854.60/x
  3. Step 3: Cross multiply
    198,399.92x = 273,749.29 × 117,854.60
  4. Step 4: Simplify right side
    198,399.92x = 32,262,611,409.85
  5. Step 5: Solve for x
    x = 32,262,611,409.85/198,399.92
  6. Step 6: Final answer
    x = 162,614.04

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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.