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Finding the Fourth Proportional to 231,630.92, 347,765.24 and 117,855.60

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Solution

The fourth proportional to 231,630.92, 347,765.24 and 117,855.60 is: 176,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,630.92 : 347,765.24 = 117,855.60 : x
  2. Step 2: Convert to fraction form
    231,630.92/347,765.24 = 117,855.60/x
  3. Step 3: Cross multiply
    231,630.92x = 347,765.24 × 117,855.60
  4. Step 4: Simplify right side
    231,630.92x = 40,986,081,019.34
  5. Step 5: Solve for x
    x = 40,986,081,019.34/231,630.92
  6. Step 6: Final answer
    x = 176,945.64

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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.