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Finding the Fourth Proportional to 206,866.90, 310,294.17 and 57,116.33

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Solution

The fourth proportional to 206,866.90, 310,294.17 and 57,116.33 is: 85,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,866.90 : 310,294.17 = 57,116.33 : x
  2. Step 2: Convert to fraction form
    206,866.90/310,294.17 = 57,116.33/x
  3. Step 3: Cross multiply
    206,866.90x = 310,294.17 × 57,116.33
  4. Step 4: Simplify right side
    206,866.90x = 17,722,864,210.80
  5. Step 5: Solve for x
    x = 17,722,864,210.80/206,866.90
  6. Step 6: Final answer
    x = 85,672.79

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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.