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Finding the Fourth Proportional to 117,976.80, 176,965.20 and 106,312.80

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Solution

The fourth proportional to 117,976.80, 176,965.20 and 106,312.80 is: 159,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976.80 : 176,965.20 = 106,312.80 : x
  2. Step 2: Convert to fraction form
    117,976.80/176,965.20 = 106,312.80/x
  3. Step 3: Cross multiply
    117,976.80x = 176,965.20 × 106,312.80
  4. Step 4: Simplify right side
    117,976.80x = 18,813,665,914.56
  5. Step 5: Solve for x
    x = 18,813,665,914.56/117,976.80
  6. Step 6: Final answer
    x = 159,469.20

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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.