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Finding the Fourth Proportional to 199,682.56, 299,523.84 and 137,163.52

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Solution

The fourth proportional to 199,682.56, 299,523.84 and 137,163.52 is: 205,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,682.56 : 299,523.84 = 137,163.52 : x
  2. Step 2: Convert to fraction form
    199,682.56/299,523.84 = 137,163.52/x
  3. Step 3: Cross multiply
    199,682.56x = 299,523.84 × 137,163.52
  4. Step 4: Simplify right side
    199,682.56x = 41,083,744,218.32
  5. Step 5: Solve for x
    x = 41,083,744,218.32/199,682.56
  6. Step 6: Final answer
    x = 205,745.28

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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.