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Finding the Fourth Proportional to 195,825, 270,239.22 and 106,401

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Solution

The fourth proportional to 195,825, 270,239.22 and 106,401 is: 146,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,825 : 270,239.22 = 106,401 : x
  2. Step 2: Convert to fraction form
    195,825/270,239.22 = 106,401/x
  3. Step 3: Cross multiply
    195,825x = 270,239.22 × 106,401
  4. Step 4: Simplify right side
    195,825x = 28,753,723,247.22
  5. Step 5: Solve for x
    x = 28,753,723,247.22/195,825
  6. Step 6: Final answer
    x = 146,833.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.