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Finding the Fourth Proportional to 150,488.46, 207,676.41 and 82,511.64

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Solution

The fourth proportional to 150,488.46, 207,676.41 and 82,511.64 is: 113,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,488.46 : 207,676.41 = 82,511.64 : x
  2. Step 2: Convert to fraction form
    150,488.46/207,676.41 = 82,511.64/x
  3. Step 3: Cross multiply
    150,488.46x = 207,676.41 × 82,511.64
  4. Step 4: Simplify right side
    150,488.46x = 17,135,721,178.41
  5. Step 5: Solve for x
    x = 17,135,721,178.41/150,488.46
  6. Step 6: Final answer
    x = 113,867.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.