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Finding the Fourth Proportional to 151,642, 209,198.34 and 87,942.88

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Solution

The fourth proportional to 151,642, 209,198.34 and 87,942.88 is: 121,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,642 : 209,198.34 = 87,942.88 : x
  2. Step 2: Convert to fraction form
    151,642/209,198.34 = 87,942.88/x
  3. Step 3: Cross multiply
    151,642x = 209,198.34 × 87,942.88
  4. Step 4: Simplify right side
    151,642x = 18,397,504,510.82
  5. Step 5: Solve for x
    x = 18,397,504,510.82/151,642
  6. Step 6: Final answer
    x = 121,321.96

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