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Finding the Fourth Proportional to 150,570.62, 207,786.04 and 82,586.20

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Solution

The fourth proportional to 150,570.62, 207,786.04 and 82,586.20 is: 113,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,570.62 : 207,786.04 = 82,586.20 : x
  2. Step 2: Convert to fraction form
    150,570.62/207,786.04 = 82,586.20/x
  3. Step 3: Cross multiply
    150,570.62x = 207,786.04 × 82,586.20
  4. Step 4: Simplify right side
    150,570.62x = 17,160,259,456.65
  5. Step 5: Solve for x
    x = 17,160,259,456.65/150,570.62
  6. Step 6: Final answer
    x = 113,968.18

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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.