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Finding the Fourth Proportional to 202,091.28, 303,160.32 and 67,167.40

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Solution

The fourth proportional to 202,091.28, 303,160.32 and 67,167.40 is: 100,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091.28 : 303,160.32 = 67,167.40 : x
  2. Step 2: Convert to fraction form
    202,091.28/303,160.32 = 67,167.40/x
  3. Step 3: Cross multiply
    202,091.28x = 303,160.32 × 67,167.40
  4. Step 4: Simplify right side
    202,091.28x = 20,362,490,477.57
  5. Step 5: Solve for x
    x = 20,362,490,477.57/202,091.28
  6. Step 6: Final answer
    x = 100,758.88

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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.