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Finding the Fourth Proportional to 206,769.80, 310,197.90 and 66,542.60

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Solution

The fourth proportional to 206,769.80, 310,197.90 and 66,542.60 is: 99,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769.80 : 310,197.90 = 66,542.60 : x
  2. Step 2: Convert to fraction form
    206,769.80/310,197.90 = 66,542.60/x
  3. Step 3: Cross multiply
    206,769.80x = 310,197.90 × 66,542.60
  4. Step 4: Simplify right side
    206,769.80x = 20,641,374,780.54
  5. Step 5: Solve for x
    x = 20,641,374,780.54/206,769.80
  6. Step 6: Final answer
    x = 99,827.80

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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.