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Finding the Fourth Proportional to 135,209.87, 202,826.31 and 35,369.91

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Solution

The fourth proportional to 135,209.87, 202,826.31 and 35,369.91 is: 53,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,209.87 : 202,826.31 = 35,369.91 : x
  2. Step 2: Convert to fraction form
    135,209.87/202,826.31 = 35,369.91/x
  3. Step 3: Cross multiply
    135,209.87x = 202,826.31 × 35,369.91
  4. Step 4: Simplify right side
    135,209.87x = 7,173,948,330.33
  5. Step 5: Solve for x
    x = 7,173,948,330.33/135,209.87
  6. Step 6: Final answer
    x = 53,057.87

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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.