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Finding the Fourth Proportional to 204,915.84, 307,512.16 and 71,797.12

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Solution

The fourth proportional to 204,915.84, 307,512.16 and 71,797.12 is: 107,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,915.84 : 307,512.16 = 71,797.12 : x
  2. Step 2: Convert to fraction form
    204,915.84/307,512.16 = 71,797.12/x
  3. Step 3: Cross multiply
    204,915.84x = 307,512.16 × 71,797.12
  4. Step 4: Simplify right side
    204,915.84x = 22,078,487,452.98
  5. Step 5: Solve for x
    x = 22,078,487,452.98/204,915.84
  6. Step 6: Final answer
    x = 107,744.17

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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.