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Finding the Fourth Proportional to 167,908.65, 251,704.62 and 83,589

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Solution

The fourth proportional to 167,908.65, 251,704.62 and 83,589 is: 125,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,908.65 : 251,704.62 = 83,589 : x
  2. Step 2: Convert to fraction form
    167,908.65/251,704.62 = 83,589/x
  3. Step 3: Cross multiply
    167,908.65x = 251,704.62 × 83,589
  4. Step 4: Simplify right side
    167,908.65x = 21,039,737,481.18
  5. Step 5: Solve for x
    x = 21,039,737,481.18/167,908.65
  6. Step 6: Final answer
    x = 125,304.67

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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.