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Finding the Fourth Proportional to 231,546.91, 319,584.36 and 150,830.41

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Solution

The fourth proportional to 231,546.91, 319,584.36 and 150,830.41 is: 208,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,546.91 : 319,584.36 = 150,830.41 : x
  2. Step 2: Convert to fraction form
    231,546.91/319,584.36 = 150,830.41/x
  3. Step 3: Cross multiply
    231,546.91x = 319,584.36 × 150,830.41
  4. Step 4: Simplify right side
    231,546.91x = 48,203,040,048.39
  5. Step 5: Solve for x
    x = 48,203,040,048.39/231,546.91
  6. Step 6: Final answer
    x = 208,178.29

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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.