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Finding the Fourth Proportional to 224,586.96, 336,834.87 and 82,383.83

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Solution

The fourth proportional to 224,586.96, 336,834.87 and 82,383.83 is: 123,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,586.96 : 336,834.87 = 82,383.83 : x
  2. Step 2: Convert to fraction form
    224,586.96/336,834.87 = 82,383.83/x
  3. Step 3: Cross multiply
    224,586.96x = 336,834.87 × 82,383.83
  4. Step 4: Simplify right side
    224,586.96x = 27,749,744,983.98
  5. Step 5: Solve for x
    x = 27,749,744,983.98/224,586.96
  6. Step 6: Final answer
    x = 123,559.02

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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.