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Finding the Fourth Proportional to 199,787.64, 275,702.38 and 109,144

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Solution

The fourth proportional to 199,787.64, 275,702.38 and 109,144 is: 150,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,787.64 : 275,702.38 = 109,144 : x
  2. Step 2: Convert to fraction form
    199,787.64/275,702.38 = 109,144/x
  3. Step 3: Cross multiply
    199,787.64x = 275,702.38 × 109,144
  4. Step 4: Simplify right side
    199,787.64x = 30,091,260,562.72
  5. Step 5: Solve for x
    x = 30,091,260,562.72/199,787.64
  6. Step 6: Final answer
    x = 150,616.23

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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.