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Finding the Fourth Proportional to 300,201.50, 414,279.70 and 164,237.06

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Solution

The fourth proportional to 300,201.50, 414,279.70 and 164,237.06 is: 226,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,201.50 : 414,279.70 = 164,237.06 : x
  2. Step 2: Convert to fraction form
    300,201.50/414,279.70 = 164,237.06/x
  3. Step 3: Cross multiply
    300,201.50x = 414,279.70 × 164,237.06
  4. Step 4: Simplify right side
    300,201.50x = 68,040,079,945.68
  5. Step 5: Solve for x
    x = 68,040,079,945.68/300,201.50
  6. Step 6: Final answer
    x = 226,648.03

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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.