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Finding the Fourth Proportional to 221,215.78, 331,824.84 and 55,003.78

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Solution

The fourth proportional to 221,215.78, 331,824.84 and 55,003.78 is: 82,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,215.78 : 331,824.84 = 55,003.78 : x
  2. Step 2: Convert to fraction form
    221,215.78/331,824.84 = 55,003.78/x
  3. Step 3: Cross multiply
    221,215.78x = 331,824.84 × 55,003.78
  4. Step 4: Simplify right side
    221,215.78x = 18,251,620,497.90
  5. Step 5: Solve for x
    x = 18,251,620,497.90/221,215.78
  6. Step 6: Final answer
    x = 82,505.96

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1.5x scale

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.