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Finding the Fourth Proportional to 178,198.44, 267,265.36 and 71,578.10

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Solution

The fourth proportional to 178,198.44, 267,265.36 and 71,578.10 is: 107,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.44 : 267,265.36 = 71,578.10 : x
  2. Step 2: Convert to fraction form
    178,198.44/267,265.36 = 71,578.10/x
  3. Step 3: Cross multiply
    178,198.44x = 267,265.36 × 71,578.10
  4. Step 4: Simplify right side
    178,198.44x = 19,130,346,664.62
  5. Step 5: Solve for x
    x = 19,130,346,664.62/178,198.44
  6. Step 6: Final answer
    x = 107,354.18

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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.