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Finding the Fourth Proportional to 222,469.28, 333,701.14 and 53,991

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Solution

The fourth proportional to 222,469.28, 333,701.14 and 53,991 is: 80,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,469.28 : 333,701.14 = 53,991 : x
  2. Step 2: Convert to fraction form
    222,469.28/333,701.14 = 53,991/x
  3. Step 3: Cross multiply
    222,469.28x = 333,701.14 × 53,991
  4. Step 4: Simplify right side
    222,469.28x = 18,016,858,249.74
  5. Step 5: Solve for x
    x = 18,016,858,249.74/222,469.28
  6. Step 6: Final answer
    x = 80,985.83

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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.