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Finding the Fourth Proportional to 144,096.96, 198,853.03 and 83,682.44

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Solution

The fourth proportional to 144,096.96, 198,853.03 and 83,682.44 is: 115,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,096.96 : 198,853.03 = 83,682.44 : x
  2. Step 2: Convert to fraction form
    144,096.96/198,853.03 = 83,682.44/x
  3. Step 3: Cross multiply
    144,096.96x = 198,853.03 × 83,682.44
  4. Step 4: Simplify right side
    144,096.96x = 16,640,507,039.72
  5. Step 5: Solve for x
    x = 16,640,507,039.72/144,096.96
  6. Step 6: Final answer
    x = 115,481.32

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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.