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Finding the Fourth Proportional to 116,187.94, 160,323.99 and 65,198.71

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Solution

The fourth proportional to 116,187.94, 160,323.99 and 65,198.71 is: 89,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,187.94 : 160,323.99 = 65,198.71 : x
  2. Step 2: Convert to fraction form
    116,187.94/160,323.99 = 65,198.71/x
  3. Step 3: Cross multiply
    116,187.94x = 160,323.99 × 65,198.71
  4. Step 4: Simplify right side
    116,187.94x = 10,452,916,528.43
  5. Step 5: Solve for x
    x = 10,452,916,528.43/116,187.94
  6. Step 6: Final answer
    x = 89,965.59

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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.