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Finding the Fourth Proportional to 182,524.78, 273,121.08 and 107,680.78

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Solution

The fourth proportional to 182,524.78, 273,121.08 and 107,680.78 is: 161,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,524.78 : 273,121.08 = 107,680.78 : x
  2. Step 2: Convert to fraction form
    182,524.78/273,121.08 = 107,680.78/x
  3. Step 3: Cross multiply
    182,524.78x = 273,121.08 × 107,680.78
  4. Step 4: Simplify right side
    182,524.78x = 29,409,890,928.84
  5. Step 5: Solve for x
    x = 29,409,890,928.84/182,524.78
  6. Step 6: Final answer
    x = 161,128.21

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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.