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Finding the Fourth Proportional to 105,190.86, 145,243.89 and 69,431.70

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Solution

The fourth proportional to 105,190.86, 145,243.89 and 69,431.70 is: 95,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,190.86 : 145,243.89 = 69,431.70 : x
  2. Step 2: Convert to fraction form
    105,190.86/145,243.89 = 69,431.70/x
  3. Step 3: Cross multiply
    105,190.86x = 145,243.89 × 69,431.70
  4. Step 4: Simplify right side
    105,190.86x = 10,084,530,197.31
  5. Step 5: Solve for x
    x = 10,084,530,197.31/105,190.86
  6. Step 6: Final answer
    x = 95,868.88

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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.