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Finding the Fourth Proportional to 300,162.87, 414,234.64 and 164,193.70

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Solution

The fourth proportional to 300,162.87, 414,234.64 and 164,193.70 is: 226,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,162.87 : 414,234.64 = 164,193.70 : x
  2. Step 2: Convert to fraction form
    300,162.87/414,234.64 = 164,193.70/x
  3. Step 3: Cross multiply
    300,162.87x = 414,234.64 × 164,193.70
  4. Step 4: Simplify right side
    300,162.87x = 68,014,718,209.77
  5. Step 5: Solve for x
    x = 68,014,718,209.77/300,162.87
  6. Step 6: Final answer
    x = 226,592.71

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1.5x scale

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.