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Finding the Fourth Proportional to 231,678.27, 319,698.34 and 129,680.37

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Solution

The fourth proportional to 231,678.27, 319,698.34 and 129,680.37 is: 178,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,678.27 : 319,698.34 = 129,680.37 : x
  2. Step 2: Convert to fraction form
    231,678.27/319,698.34 = 129,680.37/x
  3. Step 3: Cross multiply
    231,678.27x = 319,698.34 × 129,680.37
  4. Step 4: Simplify right side
    231,678.27x = 41,458,599,019.59
  5. Step 5: Solve for x
    x = 41,458,599,019.59/231,678.27
  6. Step 6: Final answer
    x = 178,949.02

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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.