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Finding the Fourth Proportional to 231,754.37, 319,847.94 and 141,163.36

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Solution

The fourth proportional to 231,754.37, 319,847.94 and 141,163.36 is: 194,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,754.37 : 319,847.94 = 141,163.36 : x
  2. Step 2: Convert to fraction form
    231,754.37/319,847.94 = 141,163.36/x
  3. Step 3: Cross multiply
    231,754.37x = 319,847.94 × 141,163.36
  4. Step 4: Simplify right side
    231,754.37x = 45,150,809,099.86
  5. Step 5: Solve for x
    x = 45,150,809,099.86/231,754.37
  6. Step 6: Final answer
    x = 194,821.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.