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Finding the Fourth Proportional to 196,856.36, 295,323.40 and 72,198.44

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Solution

The fourth proportional to 196,856.36, 295,323.40 and 72,198.44 is: 108,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,856.36 : 295,323.40 = 72,198.44 : x
  2. Step 2: Convert to fraction form
    196,856.36/295,323.40 = 72,198.44/x
  3. Step 3: Cross multiply
    196,856.36x = 295,323.40 × 72,198.44
  4. Step 4: Simplify right side
    196,856.36x = 21,321,888,775.50
  5. Step 5: Solve for x
    x = 21,321,888,775.50/196,856.36
  6. Step 6: Final answer
    x = 108,311.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.