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Finding the Fourth Proportional to 117,680.70, 176,521.05 and 82,251.30

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Solution

The fourth proportional to 117,680.70, 176,521.05 and 82,251.30 is: 123,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,680.70 : 176,521.05 = 82,251.30 : x
  2. Step 2: Convert to fraction form
    117,680.70/176,521.05 = 82,251.30/x
  3. Step 3: Cross multiply
    117,680.70x = 176,521.05 × 82,251.30
  4. Step 4: Simplify right side
    117,680.70x = 14,519,085,839.87
  5. Step 5: Solve for x
    x = 14,519,085,839.87/117,680.70
  6. Step 6: Final answer
    x = 123,376.95

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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.