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Finding the Fourth Proportional to 206,855.40, 310,436.70 and 82,285.80

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Solution

The fourth proportional to 206,855.40, 310,436.70 and 82,285.80 is: 123,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.40 : 310,436.70 = 82,285.80 : x
  2. Step 2: Convert to fraction form
    206,855.40/310,436.70 = 82,285.80/x
  3. Step 3: Cross multiply
    206,855.40x = 310,436.70 × 82,285.80
  4. Step 4: Simplify right side
    206,855.40x = 25,544,532,208.86
  5. Step 5: Solve for x
    x = 25,544,532,208.86/206,855.40
  6. Step 6: Final answer
    x = 123,489.80

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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.