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Finding the Fourth Proportional to 263,957.36, 363,972.20 and 196,100.24

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Solution

The fourth proportional to 263,957.36, 363,972.20 and 196,100.24 is: 270,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,957.36 : 363,972.20 = 196,100.24 : x
  2. Step 2: Convert to fraction form
    263,957.36/363,972.20 = 196,100.24/x
  3. Step 3: Cross multiply
    263,957.36x = 363,972.20 × 196,100.24
  4. Step 4: Simplify right side
    263,957.36x = 71,375,032,972.97
  5. Step 5: Solve for x
    x = 71,375,032,972.97/263,957.36
  6. Step 6: Final answer
    x = 270,403.65

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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.