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Finding the Fourth Proportional to 147,997.44, 204,232.32 and 80,928

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Solution

The fourth proportional to 147,997.44, 204,232.32 and 80,928 is: 111,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,997.44 : 204,232.32 = 80,928 : x
  2. Step 2: Convert to fraction form
    147,997.44/204,232.32 = 80,928/x
  3. Step 3: Cross multiply
    147,997.44x = 204,232.32 × 80,928
  4. Step 4: Simplify right side
    147,997.44x = 16,528,113,192.96
  5. Step 5: Solve for x
    x = 16,528,113,192.96/147,997.44
  6. Step 6: Final answer
    x = 111,678.37

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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.