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Finding the Fourth Proportional to 195,651, 269,999.46 and 106,227

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Solution

The fourth proportional to 195,651, 269,999.46 and 106,227 is: 146,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,651 : 269,999.46 = 106,227 : x
  2. Step 2: Convert to fraction form
    195,651/269,999.46 = 106,227/x
  3. Step 3: Cross multiply
    195,651x = 269,999.46 × 106,227
  4. Step 4: Simplify right side
    195,651x = 28,681,232,637.42
  5. Step 5: Solve for x
    x = 28,681,232,637.42/195,651
  6. Step 6: Final answer
    x = 146,593.85

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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.