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Finding the Fourth Proportional to 203,511.49, 280,844.36 and 111,632.88

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Solution

The fourth proportional to 203,511.49, 280,844.36 and 111,632.88 is: 154,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,511.49 : 280,844.36 = 111,632.88 : x
  2. Step 2: Convert to fraction form
    203,511.49/280,844.36 = 111,632.88/x
  3. Step 3: Cross multiply
    203,511.49x = 280,844.36 × 111,632.88
  4. Step 4: Simplify right side
    203,511.49x = 31,351,464,180.39
  5. Step 5: Solve for x
    x = 31,351,464,180.39/203,511.49
  6. Step 6: Final answer
    x = 154,052.55

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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.