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Finding the Fourth Proportional to 202,405.86, 303,794.01 and 102,634.92

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Solution

The fourth proportional to 202,405.86, 303,794.01 and 102,634.92 is: 154,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.86 : 303,794.01 = 102,634.92 : x
  2. Step 2: Convert to fraction form
    202,405.86/303,794.01 = 102,634.92/x
  3. Step 3: Cross multiply
    202,405.86x = 303,794.01 × 102,634.92
  4. Step 4: Simplify right side
    202,405.86x = 31,179,873,912.83
  5. Step 5: Solve for x
    x = 31,179,873,912.83/202,405.86
  6. Step 6: Final answer
    x = 154,046.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.