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Finding the Fourth Proportional to 206,782.20, 310,227.30 and 66,544.20

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Solution

The fourth proportional to 206,782.20, 310,227.30 and 66,544.20 is: 99,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.20 : 310,227.30 = 66,544.20 : x
  2. Step 2: Convert to fraction form
    206,782.20/310,227.30 = 66,544.20/x
  3. Step 3: Cross multiply
    206,782.20x = 310,227.30 × 66,544.20
  4. Step 4: Simplify right side
    206,782.20x = 20,643,827,496.66
  5. Step 5: Solve for x
    x = 20,643,827,496.66/206,782.20
  6. Step 6: Final answer
    x = 99,833.68

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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.