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Finding the Fourth Proportional to 196,997.80, 295,059.30 and 162,005.80

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Solution

The fourth proportional to 196,997.80, 295,059.30 and 162,005.80 is: 242,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,997.80 : 295,059.30 = 162,005.80 : x
  2. Step 2: Convert to fraction form
    196,997.80/295,059.30 = 162,005.80/x
  3. Step 3: Cross multiply
    196,997.80x = 295,059.30 × 162,005.80
  4. Step 4: Simplify right side
    196,997.80x = 47,801,317,943.94
  5. Step 5: Solve for x
    x = 47,801,317,943.94/196,997.80
  6. Step 6: Final answer
    x = 242,648.99

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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.