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Finding the Fourth Proportional to 214,982.21, 322,472.30 and 55,057.83

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Solution

The fourth proportional to 214,982.21, 322,472.30 and 55,057.83 is: 82,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,982.21 : 322,472.30 = 55,057.83 : x
  2. Step 2: Convert to fraction form
    214,982.21/322,472.30 = 55,057.83/x
  3. Step 3: Cross multiply
    214,982.21x = 322,472.30 × 55,057.83
  4. Step 4: Simplify right side
    214,982.21x = 17,754,624,797.82
  5. Step 5: Solve for x
    x = 17,754,624,797.82/214,982.21
  6. Step 6: Final answer
    x = 82,586.49

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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.