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Finding the Fourth Proportional to 178,638.42, 267,753.77 and 71,954.05

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Solution

The fourth proportional to 178,638.42, 267,753.77 and 71,954.05 is: 107,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,638.42 : 267,753.77 = 71,954.05 : x
  2. Step 2: Convert to fraction form
    178,638.42/267,753.77 = 71,954.05/x
  3. Step 3: Cross multiply
    178,638.42x = 267,753.77 × 71,954.05
  4. Step 4: Simplify right side
    178,638.42x = 19,265,968,154.27
  5. Step 5: Solve for x
    x = 19,265,968,154.27/178,638.42
  6. Step 6: Final answer
    x = 107,848.96

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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.