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Finding the Fourth Proportional to 231,756.80, 347,635.20 and 164,834.60

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Solution

The fourth proportional to 231,756.80, 347,635.20 and 164,834.60 is: 247,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,756.80 : 347,635.20 = 164,834.60 : x
  2. Step 2: Convert to fraction form
    231,756.80/347,635.20 = 164,834.60/x
  3. Step 3: Cross multiply
    231,756.80x = 347,635.20 × 164,834.60
  4. Step 4: Simplify right side
    231,756.80x = 57,302,309,137.92
  5. Step 5: Solve for x
    x = 57,302,309,137.92/231,756.80
  6. Step 6: Final answer
    x = 247,251.90

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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.