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Finding the Fourth Proportional to 71,163.98, 106,745.83 and 66,833.72

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Solution

The fourth proportional to 71,163.98, 106,745.83 and 66,833.72 is: 100,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.98 : 106,745.83 = 66,833.72 : x
  2. Step 2: Convert to fraction form
    71,163.98/106,745.83 = 66,833.72/x
  3. Step 3: Cross multiply
    71,163.98x = 106,745.83 × 66,833.72
  4. Step 4: Simplify right side
    71,163.98x = 7,134,220,913.39
  5. Step 5: Solve for x
    x = 7,134,220,913.39/71,163.98
  6. Step 6: Final answer
    x = 100,250.45

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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.