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Finding the Fourth Proportional to 227,739.94, 314,257.25 and 132,227.98

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Solution

The fourth proportional to 227,739.94, 314,257.25 and 132,227.98 is: 182,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,739.94 : 314,257.25 = 132,227.98 : x
  2. Step 2: Convert to fraction form
    227,739.94/314,257.25 = 132,227.98/x
  3. Step 3: Cross multiply
    227,739.94x = 314,257.25 × 132,227.98
  4. Step 4: Simplify right side
    227,739.94x = 41,553,601,367.86
  5. Step 5: Solve for x
    x = 41,553,601,367.86/227,739.94
  6. Step 6: Final answer
    x = 182,460.75

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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.