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Finding the Fourth Proportional to 198,396.54, 273,744.63 and 117,851.22

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Solution

The fourth proportional to 198,396.54, 273,744.63 and 117,851.22 is: 162,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,396.54 : 273,744.63 = 117,851.22 : x
  2. Step 2: Convert to fraction form
    198,396.54/273,744.63 = 117,851.22/x
  3. Step 3: Cross multiply
    198,396.54x = 273,744.63 × 117,851.22
  4. Step 4: Simplify right side
    198,396.54x = 32,261,138,613.95
  5. Step 5: Solve for x
    x = 32,261,138,613.95/198,396.54
  6. Step 6: Final answer
    x = 162,609.38

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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.