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Finding the Fourth Proportional to 150,717.75, 207,989.67 and 82,735.88

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Solution

The fourth proportional to 150,717.75, 207,989.67 and 82,735.88 is: 114,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,717.75 : 207,989.67 = 82,735.88 : x
  2. Step 2: Convert to fraction form
    150,717.75/207,989.67 = 82,735.88/x
  3. Step 3: Cross multiply
    150,717.75x = 207,989.67 × 82,735.88
  4. Step 4: Simplify right side
    150,717.75x = 17,208,206,924.73
  5. Step 5: Solve for x
    x = 17,208,206,924.73/150,717.75
  6. Step 6: Final answer
    x = 114,175.06

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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.