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Finding the Fourth Proportional to 231,871.50, 347,705.96 and 82,062

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Solution

The fourth proportional to 231,871.50, 347,705.96 and 82,062 is: 123,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,871.50 : 347,705.96 = 82,062 : x
  2. Step 2: Convert to fraction form
    231,871.50/347,705.96 = 82,062/x
  3. Step 3: Cross multiply
    231,871.50x = 347,705.96 × 82,062
  4. Step 4: Simplify right side
    231,871.50x = 28,533,446,489.52
  5. Step 5: Solve for x
    x = 28,533,446,489.52/231,871.50
  6. Step 6: Final answer
    x = 123,057.15

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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.