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Finding the Fourth Proportional to 106,195.66, 159,293.92 and 43,016.97

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Solution

The fourth proportional to 106,195.66, 159,293.92 and 43,016.97 is: 64,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.66 : 159,293.92 = 43,016.97 : x
  2. Step 2: Convert to fraction form
    106,195.66/159,293.92 = 43,016.97/x
  3. Step 3: Cross multiply
    106,195.66x = 159,293.92 × 43,016.97
  4. Step 4: Simplify right side
    106,195.66x = 6,852,341,777.82
  5. Step 5: Solve for x
    x = 6,852,341,777.82/106,195.66
  6. Step 6: Final answer
    x = 64,525.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.