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Finding the Fourth Proportional to 264,676.76, 396,791.84 and 114,804.22

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Solution

The fourth proportional to 264,676.76, 396,791.84 and 114,804.22 is: 172,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,676.76 : 396,791.84 = 114,804.22 : x
  2. Step 2: Convert to fraction form
    264,676.76/396,791.84 = 114,804.22/x
  3. Step 3: Cross multiply
    264,676.76x = 396,791.84 × 114,804.22
  4. Step 4: Simplify right side
    264,676.76x = 45,553,375,996.62
  5. Step 5: Solve for x
    x = 45,553,375,996.62/264,676.76
  6. Step 6: Final answer
    x = 172,109.47

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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.