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Finding the Fourth Proportional to 211,777, 292,252.26 and 122,353

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Solution

The fourth proportional to 211,777, 292,252.26 and 122,353 is: 168,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777 : 292,252.26 = 122,353 : x
  2. Step 2: Convert to fraction form
    211,777/292,252.26 = 122,353/x
  3. Step 3: Cross multiply
    211,777x = 292,252.26 × 122,353
  4. Step 4: Simplify right side
    211,777x = 35,757,940,767.78
  5. Step 5: Solve for x
    x = 35,757,940,767.78/211,777
  6. Step 6: Final answer
    x = 168,847.14

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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.