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Finding the Fourth Proportional to 202,096.28, 303,167.82 and 67,172.40

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Solution

The fourth proportional to 202,096.28, 303,167.82 and 67,172.40 is: 100,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.28 : 303,167.82 = 67,172.40 : x
  2. Step 2: Convert to fraction form
    202,096.28/303,167.82 = 67,172.40/x
  3. Step 3: Cross multiply
    202,096.28x = 303,167.82 × 67,172.40
  4. Step 4: Simplify right side
    202,096.28x = 20,364,510,072.17
  5. Step 5: Solve for x
    x = 20,364,510,072.17/202,096.28
  6. Step 6: Final answer
    x = 100,766.38

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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.