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Finding the Fourth Proportional to 222,546.78, 333,586.89 and 82,215.90

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Solution

The fourth proportional to 222,546.78, 333,586.89 and 82,215.90 is: 123,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,546.78 : 333,586.89 = 82,215.90 : x
  2. Step 2: Convert to fraction form
    222,546.78/333,586.89 = 82,215.90/x
  3. Step 3: Cross multiply
    222,546.78x = 333,586.89 × 82,215.90
  4. Step 4: Simplify right side
    222,546.78x = 27,426,146,389.55
  5. Step 5: Solve for x
    x = 27,426,146,389.55/222,546.78
  6. Step 6: Final answer
    x = 123,237.67

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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.