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Finding the Fourth Proportional to 81,893.22, 122,593.78 and 73,338.40

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Solution

The fourth proportional to 81,893.22, 122,593.78 and 73,338.40 is: 109,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.22 : 122,593.78 = 73,338.40 : x
  2. Step 2: Convert to fraction form
    81,893.22/122,593.78 = 73,338.40/x
  3. Step 3: Cross multiply
    81,893.22x = 122,593.78 × 73,338.40
  4. Step 4: Simplify right side
    81,893.22x = 8,990,831,675.15
  5. Step 5: Solve for x
    x = 8,990,831,675.15/81,893.22
  6. Step 6: Final answer
    x = 109,787.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.