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Finding the Fourth Proportional to 204,828.78, 307,243.20 and 57,084.78

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Solution

The fourth proportional to 204,828.78, 307,243.20 and 57,084.78 is: 85,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,828.78 : 307,243.20 = 57,084.78 : x
  2. Step 2: Convert to fraction form
    204,828.78/307,243.20 = 57,084.78/x
  3. Step 3: Cross multiply
    204,828.78x = 307,243.20 × 57,084.78
  4. Step 4: Simplify right side
    204,828.78x = 17,538,910,478.50
  5. Step 5: Solve for x
    x = 17,538,910,478.50/204,828.78
  6. Step 6: Final answer
    x = 85,627.18

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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.