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Finding the Fourth Proportional to 202,431.56, 303,832.49 and 102,660.62

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Solution

The fourth proportional to 202,431.56, 303,832.49 and 102,660.62 is: 154,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,431.56 : 303,832.49 = 102,660.62 : x
  2. Step 2: Convert to fraction form
    202,431.56/303,832.49 = 102,660.62/x
  3. Step 3: Cross multiply
    202,431.56x = 303,832.49 × 102,660.62
  4. Step 4: Simplify right side
    202,431.56x = 31,191,629,767.08
  5. Step 5: Solve for x
    x = 31,191,629,767.08/202,431.56
  6. Step 6: Final answer
    x = 154,084.82

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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.