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Finding the Fourth Proportional to 300,298.14, 414,405.59 and 166,162.14

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Solution

The fourth proportional to 300,298.14, 414,405.59 and 166,162.14 is: 229,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298.14 : 414,405.59 = 166,162.14 : x
  2. Step 2: Convert to fraction form
    300,298.14/414,405.59 = 166,162.14/x
  3. Step 3: Cross multiply
    300,298.14x = 414,405.59 × 166,162.14
  4. Step 4: Simplify right side
    300,298.14x = 68,858,519,662.36
  5. Step 5: Solve for x
    x = 68,858,519,662.36/300,298.14
  6. Step 6: Final answer
    x = 229,300.52

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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.