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Finding the Fourth Proportional to 300,161.87, 414,233.26 and 164,192.70

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Solution

The fourth proportional to 300,161.87, 414,233.26 and 164,192.70 is: 226,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,161.87 : 414,233.26 = 164,192.70 : x
  2. Step 2: Convert to fraction form
    300,161.87/414,233.26 = 164,192.70/x
  3. Step 3: Cross multiply
    300,161.87x = 414,233.26 × 164,192.70
  4. Step 4: Simplify right side
    300,161.87x = 68,014,076,978.72
  5. Step 5: Solve for x
    x = 68,014,076,978.72/300,161.87
  6. Step 6: Final answer
    x = 226,591.33

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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.