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Finding the Fourth Proportional to 178,452.72, 267,734.52 and 107,453.52

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Solution

The fourth proportional to 178,452.72, 267,734.52 and 107,453.52 is: 161,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452.72 : 267,734.52 = 107,453.52 : x
  2. Step 2: Convert to fraction form
    178,452.72/267,734.52 = 107,453.52/x
  3. Step 3: Cross multiply
    178,452.72x = 267,734.52 × 107,453.52
  4. Step 4: Simplify right side
    178,452.72x = 28,769,016,599.51
  5. Step 5: Solve for x
    x = 28,769,016,599.51/178,452.72
  6. Step 6: Final answer
    x = 161,213.66

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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.