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Finding the Fourth Proportional to 321,183.40, 481,661.70 and 110,772.40

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Solution

The fourth proportional to 321,183.40, 481,661.70 and 110,772.40 is: 166,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,183.40 : 481,661.70 = 110,772.40 : x
  2. Step 2: Convert to fraction form
    321,183.40/481,661.70 = 110,772.40/x
  3. Step 3: Cross multiply
    321,183.40x = 481,661.70 × 110,772.40
  4. Step 4: Simplify right side
    321,183.40x = 53,354,822,497.08
  5. Step 5: Solve for x
    x = 53,354,822,497.08/321,183.40
  6. Step 6: Final answer
    x = 166,119.49

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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.