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Finding the Fourth Proportional to 199,896.70, 275,856.80 and 109,252.66

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Solution

The fourth proportional to 199,896.70, 275,856.80 and 109,252.66 is: 150,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,896.70 : 275,856.80 = 109,252.66 : x
  2. Step 2: Convert to fraction form
    199,896.70/275,856.80 = 109,252.66/x
  3. Step 3: Cross multiply
    199,896.70x = 275,856.80 × 109,252.66
  4. Step 4: Simplify right side
    199,896.70x = 30,138,089,179.09
  5. Step 5: Solve for x
    x = 30,138,089,179.09/199,896.70
  6. Step 6: Final answer
    x = 150,768.32

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1.5x scale

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.