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Finding the Fourth Proportional to 131,311.20, 196,966.80 and 116,104.80

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Solution

The fourth proportional to 131,311.20, 196,966.80 and 116,104.80 is: 174,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311.20 : 196,966.80 = 116,104.80 : x
  2. Step 2: Convert to fraction form
    131,311.20/196,966.80 = 116,104.80/x
  3. Step 3: Cross multiply
    131,311.20x = 196,966.80 × 116,104.80
  4. Step 4: Simplify right side
    131,311.20x = 22,868,790,920.64
  5. Step 5: Solve for x
    x = 22,868,790,920.64/131,311.20
  6. Step 6: Final answer
    x = 174,157.20

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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.