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Finding the Fourth Proportional to 178,466.41, 267,714.20 and 73,286.29

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Solution

The fourth proportional to 178,466.41, 267,714.20 and 73,286.29 is: 109,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,466.41 : 267,714.20 = 73,286.29 : x
  2. Step 2: Convert to fraction form
    178,466.41/267,714.20 = 73,286.29/x
  3. Step 3: Cross multiply
    178,466.41x = 267,714.20 × 73,286.29
  4. Step 4: Simplify right side
    178,466.41x = 19,619,780,498.32
  5. Step 5: Solve for x
    x = 19,619,780,498.32/178,466.41
  6. Step 6: Final answer
    x = 109,935.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.