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Finding the Fourth Proportional to 137,097.96, 189,216.77 and 83,399.82

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Solution

The fourth proportional to 137,097.96, 189,216.77 and 83,399.82 is: 115,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.96 : 189,216.77 = 83,399.82 : x
  2. Step 2: Convert to fraction form
    137,097.96/189,216.77 = 83,399.82/x
  3. Step 3: Cross multiply
    137,097.96x = 189,216.77 × 83,399.82
  4. Step 4: Simplify right side
    137,097.96x = 15,780,644,558.98
  5. Step 5: Solve for x
    x = 15,780,644,558.98/137,097.96
  6. Step 6: Final answer
    x = 115,104.88

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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.