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Finding the Fourth Proportional to 137,441.52, 206,163.18 and 37,599.48

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Solution

The fourth proportional to 137,441.52, 206,163.18 and 37,599.48 is: 56,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,441.52 : 206,163.18 = 37,599.48 : x
  2. Step 2: Convert to fraction form
    137,441.52/206,163.18 = 37,599.48/x
  3. Step 3: Cross multiply
    137,441.52x = 206,163.18 × 37,599.48
  4. Step 4: Simplify right side
    137,441.52x = 7,751,628,363.15
  5. Step 5: Solve for x
    x = 7,751,628,363.15/137,441.52
  6. Step 6: Final answer
    x = 56,399.47

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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.