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Finding the Fourth Proportional to 242,933.97, 335,234.43 and 140,951.53

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Solution

The fourth proportional to 242,933.97, 335,234.43 and 140,951.53 is: 194,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,933.97 : 335,234.43 = 140,951.53 : x
  2. Step 2: Convert to fraction form
    242,933.97/335,234.43 = 140,951.53/x
  3. Step 3: Cross multiply
    242,933.97x = 335,234.43 × 140,951.53
  4. Step 4: Simplify right side
    242,933.97x = 47,251,805,817.18
  5. Step 5: Solve for x
    x = 47,251,805,817.18/242,933.97
  6. Step 6: Final answer
    x = 194,504.73

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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.