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Finding the Fourth Proportional to 116,109.59, 160,229.15 and 65,122.43

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Solution

The fourth proportional to 116,109.59, 160,229.15 and 65,122.43 is: 89,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,109.59 : 160,229.15 = 65,122.43 : x
  2. Step 2: Convert to fraction form
    116,109.59/160,229.15 = 65,122.43/x
  3. Step 3: Cross multiply
    116,109.59x = 160,229.15 × 65,122.43
  4. Step 4: Simplify right side
    116,109.59x = 10,434,510,478.08
  5. Step 5: Solve for x
    x = 10,434,510,478.08/116,109.59
  6. Step 6: Final answer
    x = 89,867.77

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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.