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Finding the Fourth Proportional to 357,158.35, 492,863.09 and 196,016.14

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Solution

The fourth proportional to 357,158.35, 492,863.09 and 196,016.14 is: 270,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,158.35 : 492,863.09 = 196,016.14 : x
  2. Step 2: Convert to fraction form
    357,158.35/492,863.09 = 196,016.14/x
  3. Step 3: Cross multiply
    357,158.35x = 492,863.09 × 196,016.14
  4. Step 4: Simplify right side
    357,158.35x = 96,609,120,450.27
  5. Step 5: Solve for x
    x = 96,609,120,450.27/357,158.35
  6. Step 6: Final answer
    x = 270,493.80

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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.