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Finding the Fourth Proportional to 140,991.88, 194,571.82 and 77,329.52

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Solution

The fourth proportional to 140,991.88, 194,571.82 and 77,329.52 is: 106,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,991.88 : 194,571.82 = 77,329.52 : x
  2. Step 2: Convert to fraction form
    140,991.88/194,571.82 = 77,329.52/x
  3. Step 3: Cross multiply
    140,991.88x = 194,571.82 × 77,329.52
  4. Step 4: Simplify right side
    140,991.88x = 15,046,145,446.13
  5. Step 5: Solve for x
    x = 15,046,145,446.13/140,991.88
  6. Step 6: Final answer
    x = 106,716.40

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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.