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Finding the Fourth Proportional to 140,321.43, 193,634.46 and 76,659.21

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Solution

The fourth proportional to 140,321.43, 193,634.46 and 76,659.21 is: 105,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.43 : 193,634.46 = 76,659.21 : x
  2. Step 2: Convert to fraction form
    140,321.43/193,634.46 = 76,659.21/x
  3. Step 3: Cross multiply
    140,321.43x = 193,634.46 × 76,659.21
  4. Step 4: Simplify right side
    140,321.43x = 14,843,864,732.38
  5. Step 5: Solve for x
    x = 14,843,864,732.38/140,321.43
  6. Step 6: Final answer
    x = 105,784.73

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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.