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Finding the Fourth Proportional to 321,162.87, 481,752.16 and 107,933.92

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Solution

The fourth proportional to 321,162.87, 481,752.16 and 107,933.92 is: 161,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,162.87 : 481,752.16 = 107,933.92 : x
  2. Step 2: Convert to fraction form
    321,162.87/481,752.16 = 107,933.92/x
  3. Step 3: Cross multiply
    321,162.87x = 481,752.16 × 107,933.92
  4. Step 4: Simplify right side
    321,162.87x = 51,997,397,623.05
  5. Step 5: Solve for x
    x = 51,997,397,623.05/321,162.87
  6. Step 6: Final answer
    x = 161,903.51

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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.