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Finding the Fourth Proportional to 204,797.13, 306,954.36 and 92,345.69

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Solution

The fourth proportional to 204,797.13, 306,954.36 and 92,345.69 is: 138,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,797.13 : 306,954.36 = 92,345.69 : x
  2. Step 2: Convert to fraction form
    204,797.13/306,954.36 = 92,345.69/x
  3. Step 3: Cross multiply
    204,797.13x = 306,954.36 × 92,345.69
  4. Step 4: Simplify right side
    204,797.13x = 28,345,912,940.09
  5. Step 5: Solve for x
    x = 28,345,912,940.09/204,797.13
  6. Step 6: Final answer
    x = 138,409.72

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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.