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Finding the Fourth Proportional to 204,491, 306,863.98 and 78,142.52

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Solution

The fourth proportional to 204,491, 306,863.98 and 78,142.52 is: 117,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,491 : 306,863.98 = 78,142.52 : x
  2. Step 2: Convert to fraction form
    204,491/306,863.98 = 78,142.52/x
  3. Step 3: Cross multiply
    204,491x = 306,863.98 × 78,142.52
  4. Step 4: Simplify right side
    204,491x = 23,979,124,694.43
  5. Step 5: Solve for x
    x = 23,979,124,694.43/204,491
  6. Step 6: Final answer
    x = 117,262.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.