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Finding the Fourth Proportional to 116,198.24, 174,239.04 and 53,912.48

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Solution

The fourth proportional to 116,198.24, 174,239.04 and 53,912.48 is: 80,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,198.24 : 174,239.04 = 53,912.48 : x
  2. Step 2: Convert to fraction form
    116,198.24/174,239.04 = 53,912.48/x
  3. Step 3: Cross multiply
    116,198.24x = 174,239.04 × 53,912.48
  4. Step 4: Simplify right side
    116,198.24x = 9,393,658,759.22
  5. Step 5: Solve for x
    x = 9,393,658,759.22/116,198.24
  6. Step 6: Final answer
    x = 80,841.66

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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.