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Finding the Fourth Proportional to 204,074.20, 306,111.30 and 202,105.90

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Solution

The fourth proportional to 204,074.20, 306,111.30 and 202,105.90 is: 303,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.20 : 306,111.30 = 202,105.90 : x
  2. Step 2: Convert to fraction form
    204,074.20/306,111.30 = 202,105.90/x
  3. Step 3: Cross multiply
    204,074.20x = 306,111.30 × 202,105.90
  4. Step 4: Simplify right side
    204,074.20x = 61,866,899,786.67
  5. Step 5: Solve for x
    x = 61,866,899,786.67/204,074.20
  6. Step 6: Final answer
    x = 303,158.85

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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.