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Finding the Fourth Proportional to 297,204, 410,148.72 and 163,068

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Solution

The fourth proportional to 297,204, 410,148.72 and 163,068 is: 225,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,204 : 410,148.72 = 163,068 : x
  2. Step 2: Convert to fraction form
    297,204/410,148.72 = 163,068/x
  3. Step 3: Cross multiply
    297,204x = 410,148.72 × 163,068
  4. Step 4: Simplify right side
    297,204x = 66,882,131,472.96
  5. Step 5: Solve for x
    x = 66,882,131,472.96/297,204
  6. Step 6: Final answer
    x = 225,037.79

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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.