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Finding the Fourth Proportional to 306,059.30, 422,351.72 and 168,238.68

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Solution

The fourth proportional to 306,059.30, 422,351.72 and 168,238.68 is: 232,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,059.30 : 422,351.72 = 168,238.68 : x
  2. Step 2: Convert to fraction form
    306,059.30/422,351.72 = 168,238.68/x
  3. Step 3: Cross multiply
    306,059.30x = 422,351.72 × 168,238.68
  4. Step 4: Simplify right side
    306,059.30x = 71,055,895,027.34
  5. Step 5: Solve for x
    x = 71,055,895,027.34/306,059.30
  6. Step 6: Final answer
    x = 232,163.82

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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.