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Finding the Fourth Proportional to 221,268.32, 331,902.54 and 55,056.32

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Solution

The fourth proportional to 221,268.32, 331,902.54 and 55,056.32 is: 82,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,268.32 : 331,902.54 = 55,056.32 : x
  2. Step 2: Convert to fraction form
    221,268.32/331,902.54 = 55,056.32/x
  3. Step 3: Cross multiply
    221,268.32x = 331,902.54 × 55,056.32
  4. Step 4: Simplify right side
    221,268.32x = 18,273,332,451.05
  5. Step 5: Solve for x
    x = 18,273,332,451.05/221,268.32
  6. Step 6: Final answer
    x = 82,584.49

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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.