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Finding the Fourth Proportional to 231,873.86, 347,929.41 and 110,431.88

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Solution

The fourth proportional to 231,873.86, 347,929.41 and 110,431.88 is: 165,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,873.86 : 347,929.41 = 110,431.88 : x
  2. Step 2: Convert to fraction form
    231,873.86/347,929.41 = 110,431.88/x
  3. Step 3: Cross multiply
    231,873.86x = 347,929.41 × 110,431.88
  4. Step 4: Simplify right side
    231,873.86x = 38,422,498,853.59
  5. Step 5: Solve for x
    x = 38,422,498,853.59/231,873.86
  6. Step 6: Final answer
    x = 165,704.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.