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Finding the Fourth Proportional to 227,755.43, 314,297.12 and 125,778.86

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Solution

The fourth proportional to 227,755.43, 314,297.12 and 125,778.86 is: 173,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,755.43 : 314,297.12 = 125,778.86 : x
  2. Step 2: Convert to fraction form
    227,755.43/314,297.12 = 125,778.86/x
  3. Step 3: Cross multiply
    227,755.43x = 314,297.12 × 125,778.86
  4. Step 4: Simplify right side
    227,755.43x = 39,531,932,825.99
  5. Step 5: Solve for x
    x = 39,531,932,825.99/227,755.43
  6. Step 6: Final answer
    x = 173,571.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.