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Finding the Fourth Proportional to 263,415.38, 363,514.10 and 142,556.63

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Solution

The fourth proportional to 263,415.38, 363,514.10 and 142,556.63 is: 196,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,415.38 : 363,514.10 = 142,556.63 : x
  2. Step 2: Convert to fraction form
    263,415.38/363,514.10 = 142,556.63/x
  3. Step 3: Cross multiply
    263,415.38x = 363,514.10 × 142,556.63
  4. Step 4: Simplify right side
    263,415.38x = 51,821,342,523.13
  5. Step 5: Solve for x
    x = 51,821,342,523.13/263,415.38
  6. Step 6: Final answer
    x = 196,728.62

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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.