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Finding the Fourth Proportional to 137,787.84, 206,654.50 and 37,922.24

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Solution

The fourth proportional to 137,787.84, 206,654.50 and 37,922.24 is: 56,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,787.84 : 206,654.50 = 37,922.24 : x
  2. Step 2: Convert to fraction form
    137,787.84/206,654.50 = 37,922.24/x
  3. Step 3: Cross multiply
    137,787.84x = 206,654.50 × 37,922.24
  4. Step 4: Simplify right side
    137,787.84x = 7,836,801,546.08
  5. Step 5: Solve for x
    x = 7,836,801,546.08/137,787.84
  6. Step 6: Final answer
    x = 56,875.86

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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.