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Finding the Fourth Proportional to 227,821.44, 314,369.60 and 132,309.44

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Solution

The fourth proportional to 227,821.44, 314,369.60 and 132,309.44 is: 182,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821.44 : 314,369.60 = 132,309.44 : x
  2. Step 2: Convert to fraction form
    227,821.44/314,369.60 = 132,309.44/x
  3. Step 3: Cross multiply
    227,821.44x = 314,369.60 × 132,309.44
  4. Step 4: Simplify right side
    227,821.44x = 41,594,065,729.02
  5. Step 5: Solve for x
    x = 41,594,065,729.02/227,821.44
  6. Step 6: Final answer
    x = 182,573.10

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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.