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Finding the Fourth Proportional to 204,797.41, 306,954.78 and 92,345.97

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Solution

The fourth proportional to 204,797.41, 306,954.78 and 92,345.97 is: 138,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,797.41 : 306,954.78 = 92,345.97 : x
  2. Step 2: Convert to fraction form
    204,797.41/306,954.78 = 92,345.97/x
  3. Step 3: Cross multiply
    204,797.41x = 306,954.78 × 92,345.97
  4. Step 4: Simplify right side
    204,797.41x = 28,346,038,229.47
  5. Step 5: Solve for x
    x = 28,346,038,229.47/204,797.41
  6. Step 6: Final answer
    x = 138,410.14

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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.