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Finding the Fourth Proportional to 133,797.30, 200,715.39 and 71,433.78

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Solution

The fourth proportional to 133,797.30, 200,715.39 and 71,433.78 is: 107,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,797.30 : 200,715.39 = 71,433.78 : x
  2. Step 2: Convert to fraction form
    133,797.30/200,715.39 = 71,433.78/x
  3. Step 3: Cross multiply
    133,797.30x = 200,715.39 × 71,433.78
  4. Step 4: Simplify right side
    133,797.30x = 14,337,859,011.87
  5. Step 5: Solve for x
    x = 14,337,859,011.87/133,797.30
  6. Step 6: Final answer
    x = 107,161.05

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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.