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Finding the Fourth Proportional to 300,096.80, 414,116.88 and 164,103.68

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Solution

The fourth proportional to 300,096.80, 414,116.88 and 164,103.68 is: 226,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,096.80 : 414,116.88 = 164,103.68 : x
  2. Step 2: Convert to fraction form
    300,096.80/414,116.88 = 164,103.68/x
  3. Step 3: Cross multiply
    300,096.80x = 414,116.88 × 164,103.68
  4. Step 4: Simplify right side
    300,096.80x = 67,958,103,958.12
  5. Step 5: Solve for x
    x = 67,958,103,958.12/300,096.80
  6. Step 6: Final answer
    x = 226,453.94

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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.