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Finding the Fourth Proportional to 211,662.51, 317,338.24 and 106,375.47

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Solution

The fourth proportional to 211,662.51, 317,338.24 and 106,375.47 is: 159,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,662.51 : 317,338.24 = 106,375.47 : x
  2. Step 2: Convert to fraction form
    211,662.51/317,338.24 = 106,375.47/x
  3. Step 3: Cross multiply
    211,662.51x = 317,338.24 × 106,375.47
  4. Step 4: Simplify right side
    211,662.51x = 33,757,004,428.97
  5. Step 5: Solve for x
    x = 33,757,004,428.97/211,662.51
  6. Step 6: Final answer
    x = 159,485.04

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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.