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Finding the Fourth Proportional to 137,382.49, 189,680.36 and 85,778.17

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Solution

The fourth proportional to 137,382.49, 189,680.36 and 85,778.17 is: 118,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,382.49 : 189,680.36 = 85,778.17 : x
  2. Step 2: Convert to fraction form
    137,382.49/189,680.36 = 85,778.17/x
  3. Step 3: Cross multiply
    137,382.49x = 189,680.36 × 85,778.17
  4. Step 4: Simplify right side
    137,382.49x = 16,270,434,713.56
  5. Step 5: Solve for x
    x = 16,270,434,713.56/137,382.49
  6. Step 6: Final answer
    x = 118,431.65

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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.