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Finding the Fourth Proportional to 199,853.75, 275,798.22 and 110,429.75

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Solution

The fourth proportional to 199,853.75, 275,798.22 and 110,429.75 is: 152,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853.75 : 275,798.22 = 110,429.75 : x
  2. Step 2: Convert to fraction form
    199,853.75/275,798.22 = 110,429.75/x
  3. Step 3: Cross multiply
    199,853.75x = 275,798.22 × 110,429.75
  4. Step 4: Simplify right side
    199,853.75x = 30,456,328,485.05
  5. Step 5: Solve for x
    x = 30,456,328,485.05/199,853.75
  6. Step 6: Final answer
    x = 152,393.08

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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.