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Finding the Fourth Proportional to 222,428.48, 333,773.76 and 82,284.80

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Solution

The fourth proportional to 222,428.48, 333,773.76 and 82,284.80 is: 123,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.48 : 333,773.76 = 82,284.80 : x
  2. Step 2: Convert to fraction form
    222,428.48/333,773.76 = 82,284.80/x
  3. Step 3: Cross multiply
    222,428.48x = 333,773.76 × 82,284.80
  4. Step 4: Simplify right side
    222,428.48x = 27,464,507,086.85
  5. Step 5: Solve for x
    x = 27,464,507,086.85/222,428.48
  6. Step 6: Final answer
    x = 123,475.68

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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.