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Finding the Fourth Proportional to 264,756.96, 396,912.15 and 114,884.55

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Solution

The fourth proportional to 264,756.96, 396,912.15 and 114,884.55 is: 172,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,756.96 : 396,912.15 = 114,884.55 : x
  2. Step 2: Convert to fraction form
    264,756.96/396,912.15 = 114,884.55/x
  3. Step 3: Cross multiply
    264,756.96x = 396,912.15 × 114,884.55
  4. Step 4: Simplify right side
    264,756.96x = 45,599,073,742.28
  5. Step 5: Solve for x
    x = 45,599,073,742.28/264,756.96
  6. Step 6: Final answer
    x = 172,229.93

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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.