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Finding the Fourth Proportional to 198,197.56, 273,550.38 and 117,669.24

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Solution

The fourth proportional to 198,197.56, 273,550.38 and 117,669.24 is: 162,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,197.56 : 273,550.38 = 117,669.24 : x
  2. Step 2: Convert to fraction form
    198,197.56/273,550.38 = 117,669.24/x
  3. Step 3: Cross multiply
    198,197.56x = 273,550.38 × 117,669.24
  4. Step 4: Simplify right side
    198,197.56x = 32,188,465,316.31
  5. Step 5: Solve for x
    x = 32,188,465,316.31/198,197.56
  6. Step 6: Final answer
    x = 162,405.96

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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.