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Finding the Fourth Proportional to 204,058.22, 306,086.91 and 54,298.50

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Solution

The fourth proportional to 204,058.22, 306,086.91 and 54,298.50 is: 81,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,058.22 : 306,086.91 = 54,298.50 : x
  2. Step 2: Convert to fraction form
    204,058.22/306,086.91 = 54,298.50/x
  3. Step 3: Cross multiply
    204,058.22x = 306,086.91 × 54,298.50
  4. Step 4: Simplify right side
    204,058.22x = 16,620,060,082.64
  5. Step 5: Solve for x
    x = 16,620,060,082.64/204,058.22
  6. Step 6: Final answer
    x = 81,447.64

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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.