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Finding the Fourth Proportional to 204,361.73, 306,544.31 and 71,241.74

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Solution

The fourth proportional to 204,361.73, 306,544.31 and 71,241.74 is: 106,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,361.73 : 306,544.31 = 71,241.74 : x
  2. Step 2: Convert to fraction form
    204,361.73/306,544.31 = 71,241.74/x
  3. Step 3: Cross multiply
    204,361.73x = 306,544.31 × 71,241.74
  4. Step 4: Simplify right side
    204,361.73x = 21,838,750,031.50
  5. Step 5: Solve for x
    x = 21,838,750,031.50/204,361.73
  6. Step 6: Final answer
    x = 106,863.21

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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.