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Finding the Fourth Proportional to 299,731.88, 449,819.76 and 141,960.82

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Solution

The fourth proportional to 299,731.88, 449,819.76 and 141,960.82 is: 213,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.88 : 449,819.76 = 141,960.82 : x
  2. Step 2: Convert to fraction form
    299,731.88/449,819.76 = 141,960.82/x
  3. Step 3: Cross multiply
    299,731.88x = 449,819.76 × 141,960.82
  4. Step 4: Simplify right side
    299,731.88x = 63,856,781,272.00
  5. Step 5: Solve for x
    x = 63,856,781,272.00/299,731.88
  6. Step 6: Final answer
    x = 213,046.35

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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.