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Finding the Fourth Proportional to 196,801.20, 295,201.80 and 117,874.80

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Solution

The fourth proportional to 196,801.20, 295,201.80 and 117,874.80 is: 176,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,801.20 : 295,201.80 = 117,874.80 : x
  2. Step 2: Convert to fraction form
    196,801.20/295,201.80 = 117,874.80/x
  3. Step 3: Cross multiply
    196,801.20x = 295,201.80 × 117,874.80
  4. Step 4: Simplify right side
    196,801.20x = 34,796,853,134.64
  5. Step 5: Solve for x
    x = 34,796,853,134.64/196,801.20
  6. Step 6: Final answer
    x = 176,812.20

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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.