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Finding the Fourth Proportional to 264,922.52, 397,236.14 and 87,381.86

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Solution

The fourth proportional to 264,922.52, 397,236.14 and 87,381.86 is: 131,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,922.52 : 397,236.14 = 87,381.86 : x
  2. Step 2: Convert to fraction form
    264,922.52/397,236.14 = 87,381.86/x
  3. Step 3: Cross multiply
    264,922.52x = 397,236.14 × 87,381.86
  4. Step 4: Simplify right side
    264,922.52x = 34,711,231,997.78
  5. Step 5: Solve for x
    x = 34,711,231,997.78/264,922.52
  6. Step 6: Final answer
    x = 131,024.09

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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.