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Finding the Fourth Proportional to 263,198.37, 362,787.18 and 205,736.16

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Solution

The fourth proportional to 263,198.37, 362,787.18 and 205,736.16 is: 283,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,198.37 : 362,787.18 = 205,736.16 : x
  2. Step 2: Convert to fraction form
    263,198.37/362,787.18 = 205,736.16/x
  3. Step 3: Cross multiply
    263,198.37x = 362,787.18 × 205,736.16
  4. Step 4: Simplify right side
    263,198.37x = 74,638,441,310.43
  5. Step 5: Solve for x
    x = 74,638,441,310.43/263,198.37
  6. Step 6: Final answer
    x = 283,582.46

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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.