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Finding the Fourth Proportional to 203,563.58, 280,919.30 and 111,682.26

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Solution

The fourth proportional to 203,563.58, 280,919.30 and 111,682.26 is: 154,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,563.58 : 280,919.30 = 111,682.26 : x
  2. Step 2: Convert to fraction form
    203,563.58/280,919.30 = 111,682.26/x
  3. Step 3: Cross multiply
    203,563.58x = 280,919.30 × 111,682.26
  4. Step 4: Simplify right side
    203,563.58x = 31,373,701,743.21
  5. Step 5: Solve for x
    x = 31,373,701,743.21/203,563.58
  6. Step 6: Final answer
    x = 154,122.38

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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.