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Finding the Fourth Proportional to 205,169.02, 308,294.75 and 110,469.22

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Solution

The fourth proportional to 205,169.02, 308,294.75 and 110,469.22 is: 165,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,169.02 : 308,294.75 = 110,469.22 : x
  2. Step 2: Convert to fraction form
    205,169.02/308,294.75 = 110,469.22/x
  3. Step 3: Cross multiply
    205,169.02x = 308,294.75 × 110,469.22
  4. Step 4: Simplify right side
    205,169.02x = 34,057,080,562.60
  5. Step 5: Solve for x
    x = 34,057,080,562.60/205,169.02
  6. Step 6: Final answer
    x = 165,995.24

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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.