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Finding the Fourth Proportional to 222,824.70, 333,722.16 and 133,882.14

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Solution

The fourth proportional to 222,824.70, 333,722.16 and 133,882.14 is: 200,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,824.70 : 333,722.16 = 133,882.14 : x
  2. Step 2: Convert to fraction form
    222,824.70/333,722.16 = 133,882.14/x
  3. Step 3: Cross multiply
    222,824.70x = 333,722.16 × 133,882.14
  4. Step 4: Simplify right side
    222,824.70x = 44,679,436,946.22
  5. Step 5: Solve for x
    x = 44,679,436,946.22/222,824.70
  6. Step 6: Final answer
    x = 200,513.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.