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Finding the Fourth Proportional to 137,542.36, 189,808.97 and 80,221.26

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Solution

The fourth proportional to 137,542.36, 189,808.97 and 80,221.26 is: 110,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,542.36 : 189,808.97 = 80,221.26 : x
  2. Step 2: Convert to fraction form
    137,542.36/189,808.97 = 80,221.26/x
  3. Step 3: Cross multiply
    137,542.36x = 189,808.97 × 80,221.26
  4. Step 4: Simplify right side
    137,542.36x = 15,226,714,426.95
  5. Step 5: Solve for x
    x = 15,226,714,426.95/137,542.36
  6. Step 6: Final answer
    x = 110,705.64

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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.