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Finding the Fourth Proportional to 231,516.27, 319,514.36 and 145,489.41

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Solution

The fourth proportional to 231,516.27, 319,514.36 and 145,489.41 is: 200,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,516.27 : 319,514.36 = 145,489.41 : x
  2. Step 2: Convert to fraction form
    231,516.27/319,514.36 = 145,489.41/x
  3. Step 3: Cross multiply
    231,516.27x = 319,514.36 × 145,489.41
  4. Step 4: Simplify right side
    231,516.27x = 46,485,954,995.48
  5. Step 5: Solve for x
    x = 46,485,954,995.48/231,516.27
  6. Step 6: Final answer
    x = 200,789.15

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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.