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Finding the Fourth Proportional to 224,062.20, 335,874.60 and 200,442.60

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Solution

The fourth proportional to 224,062.20, 335,874.60 and 200,442.60 is: 300,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062.20 : 335,874.60 = 200,442.60 : x
  2. Step 2: Convert to fraction form
    224,062.20/335,874.60 = 200,442.60/x
  3. Step 3: Cross multiply
    224,062.20x = 335,874.60 × 200,442.60
  4. Step 4: Simplify right side
    224,062.20x = 67,323,578,097.96
  5. Step 5: Solve for x
    x = 67,323,578,097.96/224,062.20
  6. Step 6: Final answer
    x = 300,468.25

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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.