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Finding the Fourth Proportional to 329,131.14, 454,198.38 and 178,228.14

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Solution

The fourth proportional to 329,131.14, 454,198.38 and 178,228.14 is: 245,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,131.14 : 454,198.38 = 178,228.14 : x
  2. Step 2: Convert to fraction form
    329,131.14/454,198.38 = 178,228.14/x
  3. Step 3: Cross multiply
    329,131.14x = 454,198.38 × 178,228.14
  4. Step 4: Simplify right side
    329,131.14x = 80,950,932,458.41
  5. Step 5: Solve for x
    x = 80,950,932,458.41/329,131.14
  6. Step 6: Final answer
    x = 245,953.43

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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.