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Finding the Fourth Proportional to 221,234.56, 331,853.04 and 55,022.56

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Solution

The fourth proportional to 221,234.56, 331,853.04 and 55,022.56 is: 82,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,234.56 : 331,853.04 = 55,022.56 : x
  2. Step 2: Convert to fraction form
    221,234.56/331,853.04 = 55,022.56/x
  3. Step 3: Cross multiply
    221,234.56x = 331,853.04 × 55,022.56
  4. Step 4: Simplify right side
    221,234.56x = 18,259,403,804.58
  5. Step 5: Solve for x
    x = 18,259,403,804.58/221,234.56
  6. Step 6: Final answer
    x = 82,534.14

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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.