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Finding the Fourth Proportional to 137,456.98, 189,690.39 and 83,741.99

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Solution

The fourth proportional to 137,456.98, 189,690.39 and 83,741.99 is: 115,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456.98 : 189,690.39 = 83,741.99 : x
  2. Step 2: Convert to fraction form
    137,456.98/189,690.39 = 83,741.99/x
  3. Step 3: Cross multiply
    137,456.98x = 189,690.39 × 83,741.99
  4. Step 4: Simplify right side
    137,456.98x = 15,885,049,794.02
  5. Step 5: Solve for x
    x = 15,885,049,794.02/137,456.98
  6. Step 6: Final answer
    x = 115,563.79

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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.