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Finding the Fourth Proportional to 231,991.56, 347,913.23 and 74,182.50

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Solution

The fourth proportional to 231,991.56, 347,913.23 and 74,182.50 is: 111,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,991.56 : 347,913.23 = 74,182.50 : x
  2. Step 2: Convert to fraction form
    231,991.56/347,913.23 = 74,182.50/x
  3. Step 3: Cross multiply
    231,991.56x = 347,913.23 × 74,182.50
  4. Step 4: Simplify right side
    231,991.56x = 25,809,072,813.56
  5. Step 5: Solve for x
    x = 25,809,072,813.56/231,991.56
  6. Step 6: Final answer
    x = 111,250.05

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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.