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Finding the Fourth Proportional to 150,391.34, 225,588.29 and 120,331.09

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Solution

The fourth proportional to 150,391.34, 225,588.29 and 120,331.09 is: 180,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,391.34 : 225,588.29 = 120,331.09 : x
  2. Step 2: Convert to fraction form
    150,391.34/225,588.29 = 120,331.09/x
  3. Step 3: Cross multiply
    150,391.34x = 225,588.29 × 120,331.09
  4. Step 4: Simplify right side
    150,391.34x = 27,145,284,563.79
  5. Step 5: Solve for x
    x = 27,145,284,563.79/150,391.34
  6. Step 6: Final answer
    x = 180,497.65

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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.