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Finding the Fourth Proportional to 196,249, 270,823.62 and 106,825

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Solution

The fourth proportional to 196,249, 270,823.62 and 106,825 is: 147,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,249 : 270,823.62 = 106,825 : x
  2. Step 2: Convert to fraction form
    196,249/270,823.62 = 106,825/x
  3. Step 3: Cross multiply
    196,249x = 270,823.62 × 106,825
  4. Step 4: Simplify right side
    196,249x = 28,930,733,206.50
  5. Step 5: Solve for x
    x = 28,930,733,206.50/196,249
  6. Step 6: Final answer
    x = 147,418.50

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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.