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Finding the Fourth Proportional to 224,308.27, 309,370.39 and 143,743.29

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Solution

The fourth proportional to 224,308.27, 309,370.39 and 143,743.29 is: 198,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,308.27 : 309,370.39 = 143,743.29 : x
  2. Step 2: Convert to fraction form
    224,308.27/309,370.39 = 143,743.29/x
  3. Step 3: Cross multiply
    224,308.27x = 309,370.39 × 143,743.29
  4. Step 4: Simplify right side
    224,308.27x = 44,469,916,167.69
  5. Step 5: Solve for x
    x = 44,469,916,167.69/224,308.27
  6. Step 6: Final answer
    x = 198,253.57

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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.