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Finding the Fourth Proportional to 142,738.39, 214,049.26 and 49,222.27

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Solution

The fourth proportional to 142,738.39, 214,049.26 and 49,222.27 is: 73,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738.39 : 214,049.26 = 49,222.27 : x
  2. Step 2: Convert to fraction form
    142,738.39/214,049.26 = 49,222.27/x
  3. Step 3: Cross multiply
    142,738.39x = 214,049.26 × 49,222.27
  4. Step 4: Simplify right side
    142,738.39x = 10,535,990,469.02
  5. Step 5: Solve for x
    x = 10,535,990,469.02/142,738.39
  6. Step 6: Final answer
    x = 73,813.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.