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Finding the Fourth Proportional to 206,586.70, 310,062.30 and 122,241.40

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Solution

The fourth proportional to 206,586.70, 310,062.30 and 122,241.40 is: 183,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586.70 : 310,062.30 = 122,241.40 : x
  2. Step 2: Convert to fraction form
    206,586.70/310,062.30 = 122,241.40/x
  3. Step 3: Cross multiply
    206,586.70x = 310,062.30 × 122,241.40
  4. Step 4: Simplify right side
    206,586.70x = 37,902,449,639.22
  5. Step 5: Solve for x
    x = 37,902,449,639.22/206,586.70
  6. Step 6: Final answer
    x = 183,469.94

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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.