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Finding the Fourth Proportional to 306,105.96, 422,405.73 and 170,131.08

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Solution

The fourth proportional to 306,105.96, 422,405.73 and 170,131.08 is: 234,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105.96 : 422,405.73 = 170,131.08 : x
  2. Step 2: Convert to fraction form
    306,105.96/422,405.73 = 170,131.08/x
  3. Step 3: Cross multiply
    306,105.96x = 422,405.73 × 170,131.08
  4. Step 4: Simplify right side
    306,105.96x = 71,864,343,043.09
  5. Step 5: Solve for x
    x = 71,864,343,043.09/306,105.96
  6. Step 6: Final answer
    x = 234,769.50

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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.