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Finding the Fourth Proportional to 283,969.84, 391,704.72 and 181,960.96

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Solution

The fourth proportional to 283,969.84, 391,704.72 and 181,960.96 is: 250,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,969.84 : 391,704.72 = 181,960.96 : x
  2. Step 2: Convert to fraction form
    283,969.84/391,704.72 = 181,960.96/x
  3. Step 3: Cross multiply
    283,969.84x = 391,704.72 × 181,960.96
  4. Step 4: Simplify right side
    283,969.84x = 71,274,966,887.73
  5. Step 5: Solve for x
    x = 71,274,966,887.73/283,969.84
  6. Step 6: Final answer
    x = 250,994.85

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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.