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Finding the Fourth Proportional to 205,816.50, 308,637.18 and 126,909.54

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Solution

The fourth proportional to 205,816.50, 308,637.18 and 126,909.54 is: 190,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.50 : 308,637.18 = 126,909.54 : x
  2. Step 2: Convert to fraction form
    205,816.50/308,637.18 = 126,909.54/x
  3. Step 3: Cross multiply
    205,816.50x = 308,637.18 × 126,909.54
  4. Step 4: Simplify right side
    205,816.50x = 39,169,002,540.70
  5. Step 5: Solve for x
    x = 39,169,002,540.70/205,816.50
  6. Step 6: Final answer
    x = 190,310.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.