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Finding the Fourth Proportional to 204,442.97, 282,125.01 and 113,796.60

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Solution

The fourth proportional to 204,442.97, 282,125.01 and 113,796.60 is: 157,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,442.97 : 282,125.01 = 113,796.60 : x
  2. Step 2: Convert to fraction form
    204,442.97/282,125.01 = 113,796.60/x
  3. Step 3: Cross multiply
    204,442.97x = 282,125.01 × 113,796.60
  4. Step 4: Simplify right side
    204,442.97x = 32,104,866,912.97
  5. Step 5: Solve for x
    x = 32,104,866,912.97/204,442.97
  6. Step 6: Final answer
    x = 157,035.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.