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Finding the Fourth Proportional to 202,405.36, 303,793.26 and 102,634.42

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Solution

The fourth proportional to 202,405.36, 303,793.26 and 102,634.42 is: 154,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.36 : 303,793.26 = 102,634.42 : x
  2. Step 2: Convert to fraction form
    202,405.36/303,793.26 = 102,634.42/x
  3. Step 3: Cross multiply
    202,405.36x = 303,793.26 × 102,634.42
  4. Step 4: Simplify right side
    202,405.36x = 31,179,645,040.01
  5. Step 5: Solve for x
    x = 31,179,645,040.01/202,405.36
  6. Step 6: Final answer
    x = 154,045.55

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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.