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Finding the Fourth Proportional to 264,676.64, 396,791.66 and 114,804.09

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Solution

The fourth proportional to 264,676.64, 396,791.66 and 114,804.09 is: 172,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,676.64 : 396,791.66 = 114,804.09 : x
  2. Step 2: Convert to fraction form
    264,676.64/396,791.66 = 114,804.09/x
  3. Step 3: Cross multiply
    264,676.64x = 396,791.66 × 114,804.09
  4. Step 4: Simplify right side
    264,676.64x = 45,553,304,871.87
  5. Step 5: Solve for x
    x = 45,553,304,871.87/264,676.64
  6. Step 6: Final answer
    x = 172,109.28

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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.