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Finding the Fourth Proportional to 204,043.50, 306,082.89 and 56,299.50

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Solution

The fourth proportional to 204,043.50, 306,082.89 and 56,299.50 is: 84,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,043.50 : 306,082.89 = 56,299.50 : x
  2. Step 2: Convert to fraction form
    204,043.50/306,082.89 = 56,299.50/x
  3. Step 3: Cross multiply
    204,043.50x = 306,082.89 × 56,299.50
  4. Step 4: Simplify right side
    204,043.50x = 17,232,313,665.56
  5. Step 5: Solve for x
    x = 17,232,313,665.56/204,043.50
  6. Step 6: Final answer
    x = 84,454.12

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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.