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Finding the Fourth Proportional to 267,143.88, 400,676.58 and 100,893

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Solution

The fourth proportional to 267,143.88, 400,676.58 and 100,893 is: 151,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,143.88 : 400,676.58 = 100,893 : x
  2. Step 2: Convert to fraction form
    267,143.88/400,676.58 = 100,893/x
  3. Step 3: Cross multiply
    267,143.88x = 400,676.58 × 100,893
  4. Step 4: Simplify right side
    267,143.88x = 40,425,462,185.94
  5. Step 5: Solve for x
    x = 40,425,462,185.94/267,143.88
  6. Step 6: Final answer
    x = 151,324.68

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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.