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Finding the Fourth Proportional to 231,716.88, 319,694.99 and 129,727.35

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Solution

The fourth proportional to 231,716.88, 319,694.99 and 129,727.35 is: 178,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716.88 : 319,694.99 = 129,727.35 : x
  2. Step 2: Convert to fraction form
    231,716.88/319,694.99 = 129,727.35/x
  3. Step 3: Cross multiply
    231,716.88x = 319,694.99 × 129,727.35
  4. Step 4: Simplify right side
    231,716.88x = 41,473,183,212.34
  5. Step 5: Solve for x
    x = 41,473,183,212.34/231,716.88
  6. Step 6: Final answer
    x = 178,982.14

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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.