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Finding the Fourth Proportional to 300,111.10, 414,147.49 and 164,144.65

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Solution

The fourth proportional to 300,111.10, 414,147.49 and 164,144.65 is: 226,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,111.10 : 414,147.49 = 164,144.65 : x
  2. Step 2: Convert to fraction form
    300,111.10/414,147.49 = 164,144.65/x
  3. Step 3: Cross multiply
    300,111.10x = 414,147.49 × 164,144.65
  4. Step 4: Simplify right side
    300,111.10x = 67,980,094,794.43
  5. Step 5: Solve for x
    x = 67,980,094,794.43/300,111.10
  6. Step 6: Final answer
    x = 226,516.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.