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Finding the Fourth Proportional to 204,329.85, 306,491.69 and 91,930.69

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Solution

The fourth proportional to 204,329.85, 306,491.69 and 91,930.69 is: 137,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,329.85 : 306,491.69 = 91,930.69 : x
  2. Step 2: Convert to fraction form
    204,329.85/306,491.69 = 91,930.69/x
  3. Step 3: Cross multiply
    204,329.85x = 306,491.69 × 91,930.69
  4. Step 4: Simplify right side
    204,329.85x = 28,175,992,540.97
  5. Step 5: Solve for x
    x = 28,175,992,540.97/204,329.85
  6. Step 6: Final answer
    x = 137,894.65

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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.