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Finding the Fourth Proportional to 117,763.20, 176,241.60 and 71,049.60

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Solution

The fourth proportional to 117,763.20, 176,241.60 and 71,049.60 is: 106,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,763.20 : 176,241.60 = 71,049.60 : x
  2. Step 2: Convert to fraction form
    117,763.20/176,241.60 = 71,049.60/x
  3. Step 3: Cross multiply
    117,763.20x = 176,241.60 × 71,049.60
  4. Step 4: Simplify right side
    117,763.20x = 12,521,895,183.36
  5. Step 5: Solve for x
    x = 12,521,895,183.36/117,763.20
  6. Step 6: Final answer
    x = 106,331.14

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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.