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Finding the Fourth Proportional to 150,588.66, 225,825.40 and 50,722

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Solution

The fourth proportional to 150,588.66, 225,825.40 and 50,722 is: 76,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,588.66 : 225,825.40 = 50,722 : x
  2. Step 2: Convert to fraction form
    150,588.66/225,825.40 = 50,722/x
  3. Step 3: Cross multiply
    150,588.66x = 225,825.40 × 50,722
  4. Step 4: Simplify right side
    150,588.66x = 11,454,315,938.80
  5. Step 5: Solve for x
    x = 11,454,315,938.80/150,588.66
  6. Step 6: Final answer
    x = 76,063.60

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Why These Related Problems?

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