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Finding the Fourth Proportional to 226,288.96, 312,322.62 and 149,809.48

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Solution

The fourth proportional to 226,288.96, 312,322.62 and 149,809.48 is: 206,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,288.96 : 312,322.62 = 149,809.48 : x
  2. Step 2: Convert to fraction form
    226,288.96/312,322.62 = 149,809.48/x
  3. Step 3: Cross multiply
    226,288.96x = 312,322.62 × 149,809.48
  4. Step 4: Simplify right side
    226,288.96x = 46,788,889,294.44
  5. Step 5: Solve for x
    x = 46,788,889,294.44/226,288.96
  6. Step 6: Final answer
    x = 206,766.12

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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.