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Finding the Fourth Proportional to 222,361.83, 306,905.67 and 204,428.43

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Solution

The fourth proportional to 222,361.83, 306,905.67 and 204,428.43 is: 282,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,361.83 : 306,905.67 = 204,428.43 : x
  2. Step 2: Convert to fraction form
    222,361.83/306,905.67 = 204,428.43/x
  3. Step 3: Cross multiply
    222,361.83x = 306,905.67 × 204,428.43
  4. Step 4: Simplify right side
    222,361.83x = 62,740,244,276.20
  5. Step 5: Solve for x
    x = 62,740,244,276.20/222,361.83
  6. Step 6: Final answer
    x = 282,153.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.