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Finding the Fourth Proportional to 106,363.10, 146,781.11 and 57,965.05

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Solution

The fourth proportional to 106,363.10, 146,781.11 and 57,965.05 is: 79,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.10 : 146,781.11 = 57,965.05 : x
  2. Step 2: Convert to fraction form
    106,363.10/146,781.11 = 57,965.05/x
  3. Step 3: Cross multiply
    106,363.10x = 146,781.11 × 57,965.05
  4. Step 4: Simplify right side
    106,363.10x = 8,508,174,708.59
  5. Step 5: Solve for x
    x = 8,508,174,708.59/106,363.10
  6. Step 6: Final answer
    x = 79,991.79

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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.