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Finding the Fourth Proportional to 164,649.57, 227,216.78 and 89,198.07

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Solution

The fourth proportional to 164,649.57, 227,216.78 and 89,198.07 is: 123,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649.57 : 227,216.78 = 89,198.07 : x
  2. Step 2: Convert to fraction form
    164,649.57/227,216.78 = 89,198.07/x
  3. Step 3: Cross multiply
    164,649.57x = 227,216.78 × 89,198.07
  4. Step 4: Simplify right side
    164,649.57x = 20,267,298,247.61
  5. Step 5: Solve for x
    x = 20,267,298,247.61/164,649.57
  6. Step 6: Final answer
    x = 123,093.54

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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.