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Finding the Fourth Proportional to 224,217.83, 336,354.08 and 82,040.96

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Solution

The fourth proportional to 224,217.83, 336,354.08 and 82,040.96 is: 123,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,217.83 : 336,354.08 = 82,040.96 : x
  2. Step 2: Convert to fraction form
    224,217.83/336,354.08 = 82,040.96/x
  3. Step 3: Cross multiply
    224,217.83x = 336,354.08 × 82,040.96
  4. Step 4: Simplify right side
    224,217.83x = 27,594,811,623.12
  5. Step 5: Solve for x
    x = 27,594,811,623.12/224,217.83
  6. Step 6: Final answer
    x = 123,071.44

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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.