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Finding the Fourth Proportional to 202,728.50, 303,797.50 and 97,424.44

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Solution

The fourth proportional to 202,728.50, 303,797.50 and 97,424.44 is: 145,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.50 : 303,797.50 = 97,424.44 : x
  2. Step 2: Convert to fraction form
    202,728.50/303,797.50 = 97,424.44/x
  3. Step 3: Cross multiply
    202,728.50x = 303,797.50 × 97,424.44
  4. Step 4: Simplify right side
    202,728.50x = 29,597,301,310.90
  5. Step 5: Solve for x
    x = 29,597,301,310.90/202,728.50
  6. Step 6: Final answer
    x = 145,994.77

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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.