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Finding the Fourth Proportional to 199,817.70, 299,726.55 and 120,891.30

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Solution

The fourth proportional to 199,817.70, 299,726.55 and 120,891.30 is: 181,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817.70 : 299,726.55 = 120,891.30 : x
  2. Step 2: Convert to fraction form
    199,817.70/299,726.55 = 120,891.30/x
  3. Step 3: Cross multiply
    199,817.70x = 299,726.55 × 120,891.30
  4. Step 4: Simplify right side
    199,817.70x = 36,234,332,274.02
  5. Step 5: Solve for x
    x = 36,234,332,274.02/199,817.70
  6. Step 6: Final answer
    x = 181,336.95

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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.