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Finding the Fourth Proportional to 105,160.89, 145,121.99 and 57,414.24

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Solution

The fourth proportional to 105,160.89, 145,121.99 and 57,414.24 is: 79,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,160.89 : 145,121.99 = 57,414.24 : x
  2. Step 2: Convert to fraction form
    105,160.89/145,121.99 = 57,414.24/x
  3. Step 3: Cross multiply
    105,160.89x = 145,121.99 × 57,414.24
  4. Step 4: Simplify right side
    105,160.89x = 8,332,068,763.14
  5. Step 5: Solve for x
    x = 8,332,068,763.14/105,160.89
  6. Step 6: Final answer
    x = 79,231.63

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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.