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Finding the Fourth Proportional to 196,923, 271,644.32 and 129,049.46

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Solution

The fourth proportional to 196,923, 271,644.32 and 129,049.46 is: 178,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,923 : 271,644.32 = 129,049.46 : x
  2. Step 2: Convert to fraction form
    196,923/271,644.32 = 129,049.46/x
  3. Step 3: Cross multiply
    196,923x = 271,644.32 × 129,049.46
  4. Step 4: Simplify right side
    196,923x = 35,055,550,804.60
  5. Step 5: Solve for x
    x = 35,055,550,804.60/196,923
  6. Step 6: Final answer
    x = 178,016.54

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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.