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Finding the Fourth Proportional to 231,770.67, 347,710.26 and 71,838.27

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Solution

The fourth proportional to 231,770.67, 347,710.26 and 71,838.27 is: 107,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,770.67 : 347,710.26 = 71,838.27 : x
  2. Step 2: Convert to fraction form
    231,770.67/347,710.26 = 71,838.27/x
  3. Step 3: Cross multiply
    231,770.67x = 347,710.26 × 71,838.27
  4. Step 4: Simplify right side
    231,770.67x = 24,978,903,539.65
  5. Step 5: Solve for x
    x = 24,978,903,539.65/231,770.67
  6. Step 6: Final answer
    x = 107,774.22

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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.