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Finding the Fourth Proportional to 320,067.08, 480,160.14 and 133,093.64

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Solution

The fourth proportional to 320,067.08, 480,160.14 and 133,093.64 is: 199,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,067.08 : 480,160.14 = 133,093.64 : x
  2. Step 2: Convert to fraction form
    320,067.08/480,160.14 = 133,093.64/x
  3. Step 3: Cross multiply
    320,067.08x = 480,160.14 × 133,093.64
  4. Step 4: Simplify right side
    320,067.08x = 63,906,260,815.51
  5. Step 5: Solve for x
    x = 63,906,260,815.51/320,067.08
  6. Step 6: Final answer
    x = 199,665.21

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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.