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Finding the Fourth Proportional to 224,166.76, 335,257.98 and 199,380.04

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Solution

The fourth proportional to 224,166.76, 335,257.98 and 199,380.04 is: 298,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,166.76 : 335,257.98 = 199,380.04 : x
  2. Step 2: Convert to fraction form
    224,166.76/335,257.98 = 199,380.04/x
  3. Step 3: Cross multiply
    224,166.76x = 335,257.98 × 199,380.04
  4. Step 4: Simplify right side
    224,166.76x = 66,843,749,462.72
  5. Step 5: Solve for x
    x = 66,843,749,462.72/224,166.76
  6. Step 6: Final answer
    x = 298,187.61

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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.