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Finding the Fourth Proportional to 231,662.40, 347,718.30 and 111,803.73

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Solution

The fourth proportional to 231,662.40, 347,718.30 and 111,803.73 is: 167,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,662.40 : 347,718.30 = 111,803.73 : x
  2. Step 2: Convert to fraction form
    231,662.40/347,718.30 = 111,803.73/x
  3. Step 3: Cross multiply
    231,662.40x = 347,718.30 × 111,803.73
  4. Step 4: Simplify right side
    231,662.40x = 38,876,202,929.26
  5. Step 5: Solve for x
    x = 38,876,202,929.26/231,662.40
  6. Step 6: Final answer
    x = 167,814.04

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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.