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Finding the Fourth Proportional to 110,294.88, 165,175.80 and 62,766

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Solution

The fourth proportional to 110,294.88, 165,175.80 and 62,766 is: 93,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,294.88 : 165,175.80 = 62,766 : x
  2. Step 2: Convert to fraction form
    110,294.88/165,175.80 = 62,766/x
  3. Step 3: Cross multiply
    110,294.88x = 165,175.80 × 62,766
  4. Step 4: Simplify right side
    110,294.88x = 10,367,424,262.80
  5. Step 5: Solve for x
    x = 10,367,424,262.80/110,294.88
  6. Step 6: Final answer
    x = 93,997.33

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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.