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Finding the Fourth Proportional to 300,133.85, 414,169.25 and 164,141.33

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Solution

The fourth proportional to 300,133.85, 414,169.25 and 164,141.33 is: 226,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,133.85 : 414,169.25 = 164,141.33 : x
  2. Step 2: Convert to fraction form
    300,133.85/414,169.25 = 164,141.33/x
  3. Step 3: Cross multiply
    300,133.85x = 414,169.25 × 164,141.33
  4. Step 4: Simplify right side
    300,133.85x = 67,982,288,648.55
  5. Step 5: Solve for x
    x = 67,982,288,648.55/300,133.85
  6. Step 6: Final answer
    x = 226,506.57

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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.