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Finding the Fourth Proportional to 357,144.12, 492,843.39 and 196,001.88

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Solution

The fourth proportional to 357,144.12, 492,843.39 and 196,001.88 is: 270,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,144.12 : 492,843.39 = 196,001.88 : x
  2. Step 2: Convert to fraction form
    357,144.12/492,843.39 = 196,001.88/x
  3. Step 3: Cross multiply
    357,144.12x = 492,843.39 × 196,001.88
  4. Step 4: Simplify right side
    357,144.12x = 96,598,230,985.57
  5. Step 5: Solve for x
    x = 96,598,230,985.57/357,144.12
  6. Step 6: Final answer
    x = 270,474.09

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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.