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Finding the Fourth Proportional to 231,507.56, 347,257.74 and 73,734.68

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Solution

The fourth proportional to 231,507.56, 347,257.74 and 73,734.68 is: 110,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,507.56 : 347,257.74 = 73,734.68 : x
  2. Step 2: Convert to fraction form
    231,507.56/347,257.74 = 73,734.68/x
  3. Step 3: Cross multiply
    231,507.56x = 347,257.74 × 73,734.68
  4. Step 4: Simplify right side
    231,507.56x = 25,604,938,336.42
  5. Step 5: Solve for x
    x = 25,604,938,336.42/231,507.56
  6. Step 6: Final answer
    x = 110,600.87

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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.