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Finding the Fourth Proportional to 253,829.78, 350,287.17 and 140,654.42

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Solution

The fourth proportional to 253,829.78, 350,287.17 and 140,654.42 is: 194,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,829.78 : 350,287.17 = 140,654.42 : x
  2. Step 2: Convert to fraction form
    253,829.78/350,287.17 = 140,654.42/x
  3. Step 3: Cross multiply
    253,829.78x = 350,287.17 × 140,654.42
  4. Step 4: Simplify right side
    253,829.78x = 49,269,438,729.79
  5. Step 5: Solve for x
    x = 49,269,438,729.79/253,829.78
  6. Step 6: Final answer
    x = 194,104.25

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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.