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Finding the Fourth Proportional to 150,314.14, 225,497.22 and 50,483.98

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Solution

The fourth proportional to 150,314.14, 225,497.22 and 50,483.98 is: 75,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,314.14 : 225,497.22 = 50,483.98 : x
  2. Step 2: Convert to fraction form
    150,314.14/225,497.22 = 50,483.98/x
  3. Step 3: Cross multiply
    150,314.14x = 225,497.22 × 50,483.98
  4. Step 4: Simplify right side
    150,314.14x = 11,383,997,144.54
  5. Step 5: Solve for x
    x = 11,383,997,144.54/150,314.14
  6. Step 6: Final answer
    x = 75,734.71

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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.