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Finding the Fourth Proportional to 188,881.76, 281,940.71 and 166,462.28

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Solution

The fourth proportional to 188,881.76, 281,940.71 and 166,462.28 is: 248,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,881.76 : 281,940.71 = 166,462.28 : x
  2. Step 2: Convert to fraction form
    188,881.76/281,940.71 = 166,462.28/x
  3. Step 3: Cross multiply
    188,881.76x = 281,940.71 × 166,462.28
  4. Step 4: Simplify right side
    188,881.76x = 46,932,491,169.40
  5. Step 5: Solve for x
    x = 46,932,491,169.40/188,881.76
  6. Step 6: Final answer
    x = 248,475.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.