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Finding the Fourth Proportional to 227,578.59, 314,176.57 and 166,255.97

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Solution

The fourth proportional to 227,578.59, 314,176.57 and 166,255.97 is: 229,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,578.59 : 314,176.57 = 166,255.97 : x
  2. Step 2: Convert to fraction form
    227,578.59/314,176.57 = 166,255.97/x
  3. Step 3: Cross multiply
    227,578.59x = 314,176.57 × 166,255.97
  4. Step 4: Simplify right side
    227,578.59x = 52,233,728,410.10
  5. Step 5: Solve for x
    x = 52,233,728,410.10/227,578.59
  6. Step 6: Final answer
    x = 229,519.52

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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.