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Finding the Fourth Proportional to 206,786.20, 310,233.30 and 66,548.20

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Solution

The fourth proportional to 206,786.20, 310,233.30 and 66,548.20 is: 99,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,786.20 : 310,233.30 = 66,548.20 : x
  2. Step 2: Convert to fraction form
    206,786.20/310,233.30 = 66,548.20/x
  3. Step 3: Cross multiply
    206,786.20x = 310,233.30 × 66,548.20
  4. Step 4: Simplify right side
    206,786.20x = 20,645,467,695.06
  5. Step 5: Solve for x
    x = 20,645,467,695.06/206,786.20
  6. Step 6: Final answer
    x = 99,839.68

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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.