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Finding the Fourth Proportional to 137,851.68, 206,509.74 and 80,787.18

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Solution

The fourth proportional to 137,851.68, 206,509.74 and 80,787.18 is: 121,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.68 : 206,509.74 = 80,787.18 : x
  2. Step 2: Convert to fraction form
    137,851.68/206,509.74 = 80,787.18/x
  3. Step 3: Cross multiply
    137,851.68x = 206,509.74 × 80,787.18
  4. Step 4: Simplify right side
    137,851.68x = 16,683,339,537.13
  5. Step 5: Solve for x
    x = 16,683,339,537.13/137,851.68
  6. Step 6: Final answer
    x = 121,023.84

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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.