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Finding the Fourth Proportional to 204,892.84, 306,759.76 and 108,610.67

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Solution

The fourth proportional to 204,892.84, 306,759.76 and 108,610.67 is: 162,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,892.84 : 306,759.76 = 108,610.67 : x
  2. Step 2: Convert to fraction form
    204,892.84/306,759.76 = 108,610.67/x
  3. Step 3: Cross multiply
    204,892.84x = 306,759.76 × 108,610.67
  4. Step 4: Simplify right side
    204,892.84x = 33,317,383,558.01
  5. Step 5: Solve for x
    x = 33,317,383,558.01/204,892.84
  6. Step 6: Final answer
    x = 162,608.82

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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.