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Finding the Fourth Proportional to 299,882.32, 449,910.78 and 141,893.44

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Solution

The fourth proportional to 299,882.32, 449,910.78 and 141,893.44 is: 212,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,882.32 : 449,910.78 = 141,893.44 : x
  2. Step 2: Convert to fraction form
    299,882.32/449,910.78 = 141,893.44/x
  3. Step 3: Cross multiply
    299,882.32x = 449,910.78 × 141,893.44
  4. Step 4: Simplify right side
    299,882.32x = 63,839,388,267.28
  5. Step 5: Solve for x
    x = 63,839,388,267.28/299,882.32
  6. Step 6: Final answer
    x = 212,881.47

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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.