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Finding the Fourth Proportional to 195,824.50, 270,239.46 and 106,400.50

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Solution

The fourth proportional to 195,824.50, 270,239.46 and 106,400.50 is: 146,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,824.50 : 270,239.46 = 106,400.50 : x
  2. Step 2: Convert to fraction form
    195,824.50/270,239.46 = 106,400.50/x
  3. Step 3: Cross multiply
    195,824.50x = 270,239.46 × 106,400.50
  4. Step 4: Simplify right side
    195,824.50x = 28,753,613,663.73
  5. Step 5: Solve for x
    x = 28,753,613,663.73/195,824.50
  6. Step 6: Final answer
    x = 146,833.59

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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.