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Finding the Fourth Proportional to 231,665.40, 347,722.80 and 111,806.73

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Solution

The fourth proportional to 231,665.40, 347,722.80 and 111,806.73 is: 167,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,665.40 : 347,722.80 = 111,806.73 : x
  2. Step 2: Convert to fraction form
    231,665.40/347,722.80 = 111,806.73/x
  3. Step 3: Cross multiply
    231,665.40x = 347,722.80 × 111,806.73
  4. Step 4: Simplify right side
    231,665.40x = 38,877,749,214.44
  5. Step 5: Solve for x
    x = 38,877,749,214.44/231,665.40
  6. Step 6: Final answer
    x = 167,818.54

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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.