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Finding the Fourth Proportional to 204,469.47, 306,732.15 and 71,329.77

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Solution

The fourth proportional to 204,469.47, 306,732.15 and 71,329.77 is: 107,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,469.47 : 306,732.15 = 71,329.77 : x
  2. Step 2: Convert to fraction form
    204,469.47/306,732.15 = 71,329.77/x
  3. Step 3: Cross multiply
    204,469.47x = 306,732.15 × 71,329.77
  4. Step 4: Simplify right side
    204,469.47x = 21,879,133,711.11
  5. Step 5: Solve for x
    x = 21,879,133,711.11/204,469.47
  6. Step 6: Final answer
    x = 107,004.40

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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.