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Finding the Fourth Proportional to 264,732.26, 397,147.59 and 87,251.76

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Solution

The fourth proportional to 264,732.26, 397,147.59 and 87,251.76 is: 130,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,732.26 : 397,147.59 = 87,251.76 : x
  2. Step 2: Convert to fraction form
    264,732.26/397,147.59 = 87,251.76/x
  3. Step 3: Cross multiply
    264,732.26x = 397,147.59 × 87,251.76
  4. Step 4: Simplify right side
    264,732.26x = 34,651,826,207.26
  5. Step 5: Solve for x
    x = 34,651,826,207.26/264,732.26
  6. Step 6: Final answer
    x = 130,893.86

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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.