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Finding the Fourth Proportional to 164,517.42, 227,032.29 and 92,893.20

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Solution

The fourth proportional to 164,517.42, 227,032.29 and 92,893.20 is: 128,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,517.42 : 227,032.29 = 92,893.20 : x
  2. Step 2: Convert to fraction form
    164,517.42/227,032.29 = 92,893.20/x
  3. Step 3: Cross multiply
    164,517.42x = 227,032.29 × 92,893.20
  4. Step 4: Simplify right side
    164,517.42x = 21,089,755,921.43
  5. Step 5: Solve for x
    x = 21,089,755,921.43/164,517.42
  6. Step 6: Final answer
    x = 128,191.63

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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.