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Finding the Fourth Proportional to 140,853, 194,377.14 and 81,237

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Solution

The fourth proportional to 140,853, 194,377.14 and 81,237 is: 112,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,853 : 194,377.14 = 81,237 : x
  2. Step 2: Convert to fraction form
    140,853/194,377.14 = 81,237/x
  3. Step 3: Cross multiply
    140,853x = 194,377.14 × 81,237
  4. Step 4: Simplify right side
    140,853x = 15,790,615,722.18
  5. Step 5: Solve for x
    x = 15,790,615,722.18/140,853
  6. Step 6: Final answer
    x = 112,107.06

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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.