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Finding the Fourth Proportional to 227,696.88, 314,243.97 and 132,197.88

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Solution

The fourth proportional to 227,696.88, 314,243.97 and 132,197.88 is: 182,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,696.88 : 314,243.97 = 132,197.88 : x
  2. Step 2: Convert to fraction form
    227,696.88/314,243.97 = 132,197.88/x
  3. Step 3: Cross multiply
    227,696.88x = 314,243.97 × 132,197.88
  4. Step 4: Simplify right side
    227,696.88x = 41,542,386,636.78
  5. Step 5: Solve for x
    x = 41,542,386,636.78/227,696.88
  6. Step 6: Final answer
    x = 182,446.01

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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.