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Finding the Fourth Proportional to 204,059.22, 306,088.41 and 54,299.50

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Solution

The fourth proportional to 204,059.22, 306,088.41 and 54,299.50 is: 81,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059.22 : 306,088.41 = 54,299.50 : x
  2. Step 2: Convert to fraction form
    204,059.22/306,088.41 = 54,299.50/x
  3. Step 3: Cross multiply
    204,059.22x = 306,088.41 × 54,299.50
  4. Step 4: Simplify right side
    204,059.22x = 16,620,447,618.80
  5. Step 5: Solve for x
    x = 16,620,447,618.80/204,059.22
  6. Step 6: Final answer
    x = 81,449.14

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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.