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Finding the Fourth Proportional to 300,187.15, 414,261.53 and 164,218.18

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Solution

The fourth proportional to 300,187.15, 414,261.53 and 164,218.18 is: 226,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,187.15 : 414,261.53 = 164,218.18 : x
  2. Step 2: Convert to fraction form
    300,187.15/414,261.53 = 164,218.18/x
  3. Step 3: Cross multiply
    300,187.15x = 414,261.53 × 164,218.18
  4. Step 4: Simplify right side
    300,187.15x = 68,029,274,500.62
  5. Step 5: Solve for x
    x = 68,029,274,500.62/300,187.15
  6. Step 6: Final answer
    x = 226,622.87

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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.