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Finding the Fourth Proportional to 202,443.30, 303,664.95 and 109,131.30

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Solution

The fourth proportional to 202,443.30, 303,664.95 and 109,131.30 is: 163,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,443.30 : 303,664.95 = 109,131.30 : x
  2. Step 2: Convert to fraction form
    202,443.30/303,664.95 = 109,131.30/x
  3. Step 3: Cross multiply
    202,443.30x = 303,664.95 × 109,131.30
  4. Step 4: Simplify right side
    202,443.30x = 33,139,350,757.94
  5. Step 5: Solve for x
    x = 33,139,350,757.94/202,443.30
  6. Step 6: Final answer
    x = 163,696.95

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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.