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Finding the Fourth Proportional to 299,069.28, 412,715.96 and 163,103.44

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Solution

The fourth proportional to 299,069.28, 412,715.96 and 163,103.44 is: 225,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069.28 : 412,715.96 = 163,103.44 : x
  2. Step 2: Convert to fraction form
    299,069.28/412,715.96 = 163,103.44/x
  3. Step 3: Cross multiply
    299,069.28x = 412,715.96 × 163,103.44
  4. Step 4: Simplify right side
    299,069.28x = 67,315,392,818.90
  5. Step 5: Solve for x
    x = 67,315,392,818.90/299,069.28
  6. Step 6: Final answer
    x = 225,082.94

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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.