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Finding the Fourth Proportional to 263,650.62, 363,837.74 and 142,791.90

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Solution

The fourth proportional to 263,650.62, 363,837.74 and 142,791.90 is: 197,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,650.62 : 363,837.74 = 142,791.90 : x
  2. Step 2: Convert to fraction form
    263,650.62/363,837.74 = 142,791.90/x
  3. Step 3: Cross multiply
    263,650.62x = 363,837.74 × 142,791.90
  4. Step 4: Simplify right side
    263,650.62x = 51,953,081,472.35
  5. Step 5: Solve for x
    x = 51,953,081,472.35/263,650.62
  6. Step 6: Final answer
    x = 197,052.76

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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.