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Finding the Fourth Proportional to 227,638.53, 341,377.64 and 75,794.39

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Solution

The fourth proportional to 227,638.53, 341,377.64 and 75,794.39 is: 113,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,638.53 : 341,377.64 = 75,794.39 : x
  2. Step 2: Convert to fraction form
    227,638.53/341,377.64 = 75,794.39/x
  3. Step 3: Cross multiply
    227,638.53x = 341,377.64 × 75,794.39
  4. Step 4: Simplify right side
    227,638.53x = 25,874,508,466.04
  5. Step 5: Solve for x
    x = 25,874,508,466.04/227,638.53
  6. Step 6: Final answer
    x = 113,664.89

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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.