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Finding the Fourth Proportional to 202,340.50, 302,993.12 and 196,354.06

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Solution

The fourth proportional to 202,340.50, 302,993.12 and 196,354.06 is: 294,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,340.50 : 302,993.12 = 196,354.06 : x
  2. Step 2: Convert to fraction form
    202,340.50/302,993.12 = 196,354.06/x
  3. Step 3: Cross multiply
    202,340.50x = 302,993.12 × 196,354.06
  4. Step 4: Simplify right side
    202,340.50x = 59,493,928,997.47
  5. Step 5: Solve for x
    x = 59,493,928,997.47/202,340.50
  6. Step 6: Final answer
    x = 294,028.78

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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.