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Finding the Fourth Proportional to 190,651.38, 263,098.90 and 105,769.05

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Solution

The fourth proportional to 190,651.38, 263,098.90 and 105,769.05 is: 145,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,651.38 : 263,098.90 = 105,769.05 : x
  2. Step 2: Convert to fraction form
    190,651.38/263,098.90 = 105,769.05/x
  3. Step 3: Cross multiply
    190,651.38x = 263,098.90 × 105,769.05
  4. Step 4: Simplify right side
    190,651.38x = 27,827,720,709.05
  5. Step 5: Solve for x
    x = 27,827,720,709.05/190,651.38
  6. Step 6: Final answer
    x = 145,961.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.