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Finding the Fourth Proportional to 263,246.38, 363,278.64 and 142,387.54

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Solution

The fourth proportional to 263,246.38, 363,278.64 and 142,387.54 is: 196,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,246.38 : 363,278.64 = 142,387.54 : x
  2. Step 2: Convert to fraction form
    263,246.38/363,278.64 = 142,387.54/x
  3. Step 3: Cross multiply
    263,246.38x = 363,278.64 × 142,387.54
  4. Step 4: Simplify right side
    263,246.38x = 51,726,351,884.15
  5. Step 5: Solve for x
    x = 51,726,351,884.15/263,246.38
  6. Step 6: Final answer
    x = 196,494.07

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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.