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Finding the Fourth Proportional to 195,524.88, 269,824.33 and 106,100.88

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Solution

The fourth proportional to 195,524.88, 269,824.33 and 106,100.88 is: 146,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,524.88 : 269,824.33 = 106,100.88 : x
  2. Step 2: Convert to fraction form
    195,524.88/269,824.33 = 106,100.88/x
  3. Step 3: Cross multiply
    195,524.88x = 269,824.33 × 106,100.88
  4. Step 4: Simplify right side
    195,524.88x = 28,628,598,858.41
  5. Step 5: Solve for x
    x = 28,628,598,858.41/195,524.88
  6. Step 6: Final answer
    x = 146,419.21

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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.