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Finding the Fourth Proportional to 231,832.32, 347,750.30 and 82,073.24

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Solution

The fourth proportional to 231,832.32, 347,750.30 and 82,073.24 is: 123,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832.32 : 347,750.30 = 82,073.24 : x
  2. Step 2: Convert to fraction form
    231,832.32/347,750.30 = 82,073.24/x
  3. Step 3: Cross multiply
    231,832.32x = 347,750.30 × 82,073.24
  4. Step 4: Simplify right side
    231,832.32x = 28,540,993,831.97
  5. Step 5: Solve for x
    x = 28,540,993,831.97/231,832.32
  6. Step 6: Final answer
    x = 123,110.50

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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.