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Finding the Fourth Proportional to 221,234.34, 331,852.59 and 55,022.34

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Solution

The fourth proportional to 221,234.34, 331,852.59 and 55,022.34 is: 82,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,234.34 : 331,852.59 = 55,022.34 : x
  2. Step 2: Convert to fraction form
    221,234.34/331,852.59 = 55,022.34/x
  3. Step 3: Cross multiply
    221,234.34x = 331,852.59 × 55,022.34
  4. Step 4: Simplify right side
    221,234.34x = 18,259,306,036.86
  5. Step 5: Solve for x
    x = 18,259,306,036.86/221,234.34
  6. Step 6: Final answer
    x = 82,533.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.