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Finding the Fourth Proportional to 221,824.54, 332,671.20 and 64,054.36

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Solution

The fourth proportional to 221,824.54, 332,671.20 and 64,054.36 is: 96,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824.54 : 332,671.20 = 64,054.36 : x
  2. Step 2: Convert to fraction form
    221,824.54/332,671.20 = 64,054.36/x
  3. Step 3: Cross multiply
    221,824.54x = 332,671.20 × 64,054.36
  4. Step 4: Simplify right side
    221,824.54x = 21,309,040,806.43
  5. Step 5: Solve for x
    x = 21,309,040,806.43/221,824.54
  6. Step 6: Final answer
    x = 96,062.59

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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.