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Finding the Fourth Proportional to 205,752.05, 308,410.97 and 110,956.43

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Solution

The fourth proportional to 205,752.05, 308,410.97 and 110,956.43 is: 166,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.05 : 308,410.97 = 110,956.43 : x
  2. Step 2: Convert to fraction form
    205,752.05/308,410.97 = 110,956.43/x
  3. Step 3: Cross multiply
    205,752.05x = 308,410.97 × 110,956.43
  4. Step 4: Simplify right side
    205,752.05x = 34,220,181,029.13
  5. Step 5: Solve for x
    x = 34,220,181,029.13/205,752.05
  6. Step 6: Final answer
    x = 166,317.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.