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Finding the Fourth Proportional to 135,199.30, 202,410.15 and 82,711.30

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Solution

The fourth proportional to 135,199.30, 202,410.15 and 82,711.30 is: 123,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199.30 : 202,410.15 = 82,711.30 : x
  2. Step 2: Convert to fraction form
    135,199.30/202,410.15 = 82,711.30/x
  3. Step 3: Cross multiply
    135,199.30x = 202,410.15 × 82,711.30
  4. Step 4: Simplify right side
    135,199.30x = 16,741,606,639.70
  5. Step 5: Solve for x
    x = 16,741,606,639.70/135,199.30
  6. Step 6: Final answer
    x = 123,829.09

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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.