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Finding the Fourth Proportional to 202,438.30, 303,657.45 and 136,083.10

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Solution

The fourth proportional to 202,438.30, 303,657.45 and 136,083.10 is: 204,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.30 : 303,657.45 = 136,083.10 : x
  2. Step 2: Convert to fraction form
    202,438.30/303,657.45 = 136,083.10/x
  3. Step 3: Cross multiply
    202,438.30x = 303,657.45 × 136,083.10
  4. Step 4: Simplify right side
    202,438.30x = 41,322,647,134.10
  5. Step 5: Solve for x
    x = 41,322,647,134.10/202,438.30
  6. Step 6: Final answer
    x = 204,124.65

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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.