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Finding the Fourth Proportional to 196,246.40, 293,786.40 and 175,251.20

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Solution

The fourth proportional to 196,246.40, 293,786.40 and 175,251.20 is: 262,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,246.40 : 293,786.40 = 175,251.20 : x
  2. Step 2: Convert to fraction form
    196,246.40/293,786.40 = 175,251.20/x
  3. Step 3: Cross multiply
    196,246.40x = 293,786.40 × 175,251.20
  4. Step 4: Simplify right side
    196,246.40x = 51,486,419,143.68
  5. Step 5: Solve for x
    x = 51,486,419,143.68/196,246.40
  6. Step 6: Final answer
    x = 262,355.99

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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.