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Finding the Fourth Proportional to 289,168.23, 399,052.11 and 161,843.84

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Solution

The fourth proportional to 289,168.23, 399,052.11 and 161,843.84 is: 223,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,168.23 : 399,052.11 = 161,843.84 : x
  2. Step 2: Convert to fraction form
    289,168.23/399,052.11 = 161,843.84/x
  3. Step 3: Cross multiply
    289,168.23x = 399,052.11 × 161,843.84
  4. Step 4: Simplify right side
    289,168.23x = 64,584,123,847.24
  5. Step 5: Solve for x
    x = 64,584,123,847.24/289,168.23
  6. Step 6: Final answer
    x = 223,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.