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Finding the Fourth Proportional to 224,160.40, 335,249.16 and 199,374.40

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Solution

The fourth proportional to 224,160.40, 335,249.16 and 199,374.40 is: 298,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,160.40 : 335,249.16 = 199,374.40 : x
  2. Step 2: Convert to fraction form
    224,160.40/335,249.16 = 199,374.40/x
  3. Step 3: Cross multiply
    224,160.40x = 335,249.16 × 199,374.40
  4. Step 4: Simplify right side
    224,160.40x = 66,840,100,125.50
  5. Step 5: Solve for x
    x = 66,840,100,125.50/224,160.40
  6. Step 6: Final answer
    x = 298,179.79

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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.