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Finding the Fourth Proportional to 263,613.14, 363,786.33 and 142,754.56

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Solution

The fourth proportional to 263,613.14, 363,786.33 and 142,754.56 is: 197,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,613.14 : 363,786.33 = 142,754.56 : x
  2. Step 2: Convert to fraction form
    263,613.14/363,786.33 = 142,754.56/x
  3. Step 3: Cross multiply
    263,613.14x = 363,786.33 × 142,754.56
  4. Step 4: Simplify right side
    263,613.14x = 51,932,154,940.46
  5. Step 5: Solve for x
    x = 51,932,154,940.46/263,613.14
  6. Step 6: Final answer
    x = 197,001.39

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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.