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Finding the Fourth Proportional to 196,808.80, 295,213.20 and 137,711.20

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Solution

The fourth proportional to 196,808.80, 295,213.20 and 137,711.20 is: 206,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,808.80 : 295,213.20 = 137,711.20 : x
  2. Step 2: Convert to fraction form
    196,808.80/295,213.20 = 137,711.20/x
  3. Step 3: Cross multiply
    196,808.80x = 295,213.20 × 137,711.20
  4. Step 4: Simplify right side
    196,808.80x = 40,654,164,027.84
  5. Step 5: Solve for x
    x = 40,654,164,027.84/196,808.80
  6. Step 6: Final answer
    x = 206,566.80

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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.