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Finding the Fourth Proportional to 150,321.16, 225,507.72 and 50,491

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Solution

The fourth proportional to 150,321.16, 225,507.72 and 50,491 is: 75,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,321.16 : 225,507.72 = 50,491 : x
  2. Step 2: Convert to fraction form
    150,321.16/225,507.72 = 50,491/x
  3. Step 3: Cross multiply
    150,321.16x = 225,507.72 × 50,491
  4. Step 4: Simplify right side
    150,321.16x = 11,386,110,290.52
  5. Step 5: Solve for x
    x = 11,386,110,290.52/150,321.16
  6. Step 6: Final answer
    x = 75,745.23

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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.