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Finding the Fourth Proportional to 301,027.14, 415,418.02 and 166,891.14

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Solution

The fourth proportional to 301,027.14, 415,418.02 and 166,891.14 is: 230,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,027.14 : 415,418.02 = 166,891.14 : x
  2. Step 2: Convert to fraction form
    301,027.14/415,418.02 = 166,891.14/x
  3. Step 3: Cross multiply
    301,027.14x = 415,418.02 × 166,891.14
  4. Step 4: Simplify right side
    301,027.14x = 69,329,586,934.34
  5. Step 5: Solve for x
    x = 69,329,586,934.34/301,027.14
  6. Step 6: Final answer
    x = 230,310.09

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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.