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Finding the Fourth Proportional to 300,188.52, 414,261 and 166,052.52

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Solution

The fourth proportional to 300,188.52, 414,261 and 166,052.52 is: 229,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,188.52 : 414,261 = 166,052.52 : x
  2. Step 2: Convert to fraction form
    300,188.52/414,261 = 166,052.52/x
  3. Step 3: Cross multiply
    300,188.52x = 414,261 × 166,052.52
  4. Step 4: Simplify right side
    300,188.52x = 68,789,082,987.72
  5. Step 5: Solve for x
    x = 68,789,082,987.72/300,188.52
  6. Step 6: Final answer
    x = 229,152.94

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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.