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Finding the Fourth Proportional to 221,216.40, 331,873.20 and 71,431.20

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Solution

The fourth proportional to 221,216.40, 331,873.20 and 71,431.20 is: 107,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,216.40 : 331,873.20 = 71,431.20 : x
  2. Step 2: Convert to fraction form
    221,216.40/331,873.20 = 71,431.20/x
  3. Step 3: Cross multiply
    221,216.40x = 331,873.20 × 71,431.20
  4. Step 4: Simplify right side
    221,216.40x = 23,706,100,923.84
  5. Step 5: Solve for x
    x = 23,706,100,923.84/221,216.40
  6. Step 6: Final answer
    x = 107,162.49

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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.