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Finding the Fourth Proportional to 137,625.70, 206,438.87 and 37,787.26

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Solution

The fourth proportional to 137,625.70, 206,438.87 and 37,787.26 is: 56,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,625.70 : 206,438.87 = 37,787.26 : x
  2. Step 2: Convert to fraction form
    137,625.70/206,438.87 = 37,787.26/x
  3. Step 3: Cross multiply
    137,625.70x = 206,438.87 × 37,787.26
  4. Step 4: Simplify right side
    137,625.70x = 7,800,759,254.80
  5. Step 5: Solve for x
    x = 7,800,759,254.80/137,625.70
  6. Step 6: Final answer
    x = 56,680.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.