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Finding the Fourth Proportional to 299,960.91, 449,964.59 and 100,282.04

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Solution

The fourth proportional to 299,960.91, 449,964.59 and 100,282.04 is: 150,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,960.91 : 449,964.59 = 100,282.04 : x
  2. Step 2: Convert to fraction form
    299,960.91/449,964.59 = 100,282.04/x
  3. Step 3: Cross multiply
    299,960.91x = 449,964.59 × 100,282.04
  4. Step 4: Simplify right side
    299,960.91x = 45,123,364,261.73
  5. Step 5: Solve for x
    x = 45,123,364,261.73/299,960.91
  6. Step 6: Final answer
    x = 150,430.82

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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.