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Finding the Fourth Proportional to 137,596, 206,380.18 and 37,766.24

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Solution

The fourth proportional to 137,596, 206,380.18 and 37,766.24 is: 56,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596 : 206,380.18 = 37,766.24 : x
  2. Step 2: Convert to fraction form
    137,596/206,380.18 = 37,766.24/x
  3. Step 3: Cross multiply
    137,596x = 206,380.18 × 37,766.24
  4. Step 4: Simplify right side
    137,596x = 7,794,203,409.12
  5. Step 5: Solve for x
    x = 7,794,203,409.12/137,596
  6. Step 6: Final answer
    x = 56,645.57

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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.