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Finding the Fourth Proportional to 204,181.16, 306,286.31 and 54,420.66

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Solution

The fourth proportional to 204,181.16, 306,286.31 and 54,420.66 is: 81,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,181.16 : 306,286.31 = 54,420.66 : x
  2. Step 2: Convert to fraction form
    204,181.16/306,286.31 = 54,420.66/x
  3. Step 3: Cross multiply
    204,181.16x = 306,286.31 × 54,420.66
  4. Step 4: Simplify right side
    204,181.16x = 16,668,303,275.22
  5. Step 5: Solve for x
    x = 16,668,303,275.22/204,181.16
  6. Step 6: Final answer
    x = 81,634.88

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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.