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Finding the Fourth Proportional to 300,091.90, 414,121.01 and 164,125.43

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Solution

The fourth proportional to 300,091.90, 414,121.01 and 164,125.43 is: 226,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,091.90 : 414,121.01 = 164,125.43 : x
  2. Step 2: Convert to fraction form
    300,091.90/414,121.01 = 164,125.43/x
  3. Step 3: Cross multiply
    300,091.90x = 414,121.01 × 164,125.43
  4. Step 4: Simplify right side
    300,091.90x = 67,967,790,283.90
  5. Step 5: Solve for x
    x = 67,967,790,283.90/300,091.90
  6. Step 6: Final answer
    x = 226,489.92

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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.