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Finding the Fourth Proportional to 231,791.69, 347,806.19 and 110,349.66

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Solution

The fourth proportional to 231,791.69, 347,806.19 and 110,349.66 is: 165,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791.69 : 347,806.19 = 110,349.66 : x
  2. Step 2: Convert to fraction form
    231,791.69/347,806.19 = 110,349.66/x
  3. Step 3: Cross multiply
    231,791.69x = 347,806.19 × 110,349.66
  4. Step 4: Simplify right side
    231,791.69x = 38,380,294,812.40
  5. Step 5: Solve for x
    x = 38,380,294,812.40/231,791.69
  6. Step 6: Final answer
    x = 165,580.98

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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.