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Finding the Fourth Proportional to 202,843.68, 303,832.08 and 164,721.12

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Solution

The fourth proportional to 202,843.68, 303,832.08 and 164,721.12 is: 246,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843.68 : 303,832.08 = 164,721.12 : x
  2. Step 2: Convert to fraction form
    202,843.68/303,832.08 = 164,721.12/x
  3. Step 3: Cross multiply
    202,843.68x = 303,832.08 × 164,721.12
  4. Step 4: Simplify right side
    202,843.68x = 50,047,560,509.53
  5. Step 5: Solve for x
    x = 50,047,560,509.53/202,843.68
  6. Step 6: Final answer
    x = 246,729.70

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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.