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Finding the Fourth Proportional to 300,166.70, 414,229.91 and 164,200.61

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Solution

The fourth proportional to 300,166.70, 414,229.91 and 164,200.61 is: 226,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,166.70 : 414,229.91 = 164,200.61 : x
  2. Step 2: Convert to fraction form
    300,166.70/414,229.91 = 164,200.61/x
  3. Step 3: Cross multiply
    300,166.70x = 414,229.91 × 164,200.61
  4. Step 4: Simplify right side
    300,166.70x = 68,016,803,081.24
  5. Step 5: Solve for x
    x = 68,016,803,081.24/300,166.70
  6. Step 6: Final answer
    x = 226,596.76

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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.