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Finding the Fourth Proportional to 196,243.82, 270,745.62 and 111,311.68

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Solution

The fourth proportional to 196,243.82, 270,745.62 and 111,311.68 is: 153,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243.82 : 270,745.62 = 111,311.68 : x
  2. Step 2: Convert to fraction form
    196,243.82/270,745.62 = 111,311.68/x
  3. Step 3: Cross multiply
    196,243.82x = 270,745.62 × 111,311.68
  4. Step 4: Simplify right side
    196,243.82x = 30,137,148,720.56
  5. Step 5: Solve for x
    x = 30,137,148,720.56/196,243.82
  6. Step 6: Final answer
    x = 153,569.92

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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.