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Finding the Fourth Proportional to 107,375.75, 160,992.54 and 51,224.53

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Solution

The fourth proportional to 107,375.75, 160,992.54 and 51,224.53 is: 76,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,375.75 : 160,992.54 = 51,224.53 : x
  2. Step 2: Convert to fraction form
    107,375.75/160,992.54 = 51,224.53/x
  3. Step 3: Cross multiply
    107,375.75x = 160,992.54 × 51,224.53
  4. Step 4: Simplify right side
    107,375.75x = 8,246,766,792.52
  5. Step 5: Solve for x
    x = 8,246,766,792.52/107,375.75
  6. Step 6: Final answer
    x = 76,802.88

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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.