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Finding the Fourth Proportional to 224,078.28, 309,307.32 and 200,163.44

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Solution

The fourth proportional to 224,078.28, 309,307.32 and 200,163.44 is: 276,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,078.28 : 309,307.32 = 200,163.44 : x
  2. Step 2: Convert to fraction form
    224,078.28/309,307.32 = 200,163.44/x
  3. Step 3: Cross multiply
    224,078.28x = 309,307.32 × 200,163.44
  4. Step 4: Simplify right side
    224,078.28x = 61,912,017,188.38
  5. Step 5: Solve for x
    x = 61,912,017,188.38/224,078.28
  6. Step 6: Final answer
    x = 276,296.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.