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Finding the Fourth Proportional to 140,698.17, 211,049.96 and 51,905.97

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Solution

The fourth proportional to 140,698.17, 211,049.96 and 51,905.97 is: 77,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,698.17 : 211,049.96 = 51,905.97 : x
  2. Step 2: Convert to fraction form
    140,698.17/211,049.96 = 51,905.97/x
  3. Step 3: Cross multiply
    140,698.17x = 211,049.96 × 51,905.97
  4. Step 4: Simplify right side
    140,698.17x = 10,954,752,632.73
  5. Step 5: Solve for x
    x = 10,954,752,632.73/140,698.17
  6. Step 6: Final answer
    x = 77,859.95

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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.