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Finding the Fourth Proportional to 211,906.29, 317,824.49 and 69,753.42

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Solution

The fourth proportional to 211,906.29, 317,824.49 and 69,753.42 is: 104,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,906.29 : 317,824.49 = 69,753.42 : x
  2. Step 2: Convert to fraction form
    211,906.29/317,824.49 = 69,753.42/x
  3. Step 3: Cross multiply
    211,906.29x = 317,824.49 × 69,753.42
  4. Step 4: Simplify right side
    211,906.29x = 22,169,344,788.49
  5. Step 5: Solve for x
    x = 22,169,344,788.49/211,906.29
  6. Step 6: Final answer
    x = 104,618.63

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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.