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Finding the Fourth Proportional to 222,564.78, 333,613.88 and 82,233.90

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Solution

The fourth proportional to 222,564.78, 333,613.88 and 82,233.90 is: 123,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,564.78 : 333,613.88 = 82,233.90 : x
  2. Step 2: Convert to fraction form
    222,564.78/333,613.88 = 82,233.90/x
  3. Step 3: Cross multiply
    222,564.78x = 333,613.88 × 82,233.90
  4. Step 4: Simplify right side
    222,564.78x = 27,434,370,446.53
  5. Step 5: Solve for x
    x = 27,434,370,446.53/222,564.78
  6. Step 6: Final answer
    x = 123,264.65

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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.