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Finding the Fourth Proportional to 168,193.69, 231,918.74 and 137,471.47

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Solution

The fourth proportional to 168,193.69, 231,918.74 and 137,471.47 is: 189,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,193.69 : 231,918.74 = 137,471.47 : x
  2. Step 2: Convert to fraction form
    168,193.69/231,918.74 = 137,471.47/x
  3. Step 3: Cross multiply
    168,193.69x = 231,918.74 × 137,471.47
  4. Step 4: Simplify right side
    168,193.69x = 31,882,208,948.75
  5. Step 5: Solve for x
    x = 31,882,208,948.75/168,193.69
  6. Step 6: Final answer
    x = 189,556.51

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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.