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Finding the Fourth Proportional to 226,287.96, 312,321.24 and 149,808.48

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Solution

The fourth proportional to 226,287.96, 312,321.24 and 149,808.48 is: 206,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,287.96 : 312,321.24 = 149,808.48 : x
  2. Step 2: Convert to fraction form
    226,287.96/312,321.24 = 149,808.48/x
  3. Step 3: Cross multiply
    226,287.96x = 312,321.24 × 149,808.48
  4. Step 4: Simplify right side
    226,287.96x = 46,788,370,236.12
  5. Step 5: Solve for x
    x = 46,788,370,236.12/226,287.96
  6. Step 6: Final answer
    x = 206,764.74

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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.