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Finding the Fourth Proportional to 110,296, 165,234.24 and 62,944

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Solution

The fourth proportional to 110,296, 165,234.24 and 62,944 is: 94,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,296 : 165,234.24 = 62,944 : x
  2. Step 2: Convert to fraction form
    110,296/165,234.24 = 62,944/x
  3. Step 3: Cross multiply
    110,296x = 165,234.24 × 62,944
  4. Step 4: Simplify right side
    110,296x = 10,400,504,002.56
  5. Step 5: Solve for x
    x = 10,400,504,002.56/110,296
  6. Step 6: Final answer
    x = 94,296.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.