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Finding the Fourth Proportional to 182,584.67, 274,102.52 and 86,613.64

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Solution

The fourth proportional to 182,584.67, 274,102.52 and 86,613.64 is: 130,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,584.67 : 274,102.52 = 86,613.64 : x
  2. Step 2: Convert to fraction form
    182,584.67/274,102.52 = 86,613.64/x
  3. Step 3: Cross multiply
    182,584.67x = 274,102.52 × 86,613.64
  4. Step 4: Simplify right side
    182,584.67x = 23,741,015,872.05
  5. Step 5: Solve for x
    x = 23,741,015,872.05/182,584.67
  6. Step 6: Final answer
    x = 130,027.44

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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.