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Finding the Fourth Proportional to 231,335.70, 319,120.17 and 140,719.38

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Solution

The fourth proportional to 231,335.70, 319,120.17 and 140,719.38 is: 194,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,335.70 : 319,120.17 = 140,719.38 : x
  2. Step 2: Convert to fraction form
    231,335.70/319,120.17 = 140,719.38/x
  3. Step 3: Cross multiply
    231,335.70x = 319,120.17 × 140,719.38
  4. Step 4: Simplify right side
    231,335.70x = 44,906,392,467.89
  5. Step 5: Solve for x
    x = 44,906,392,467.89/231,335.70
  6. Step 6: Final answer
    x = 194,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.