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Finding the Fourth Proportional to 300,300.20, 414,414.26 and 164,334.20

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Solution

The fourth proportional to 300,300.20, 414,414.26 and 164,334.20 is: 226,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,300.20 : 414,414.26 = 164,334.20 : x
  2. Step 2: Convert to fraction form
    300,300.20/414,414.26 = 164,334.20/x
  3. Step 3: Cross multiply
    300,300.20x = 414,414.26 × 164,334.20
  4. Step 4: Simplify right side
    300,300.20x = 68,102,435,885.69
  5. Step 5: Solve for x
    x = 68,102,435,885.69/300,300.20
  6. Step 6: Final answer
    x = 226,781.19

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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.