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Finding the Fourth Proportional to 149,544, 206,375.04 and 82,480.32

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Solution

The fourth proportional to 149,544, 206,375.04 and 82,480.32 is: 113,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,544 : 206,375.04 = 82,480.32 : x
  2. Step 2: Convert to fraction form
    149,544/206,375.04 = 82,480.32/x
  3. Step 3: Cross multiply
    149,544x = 206,375.04 × 82,480.32
  4. Step 4: Simplify right side
    149,544x = 17,021,879,339.21
  5. Step 5: Solve for x
    x = 17,021,879,339.21/149,544
  6. Step 6: Final answer
    x = 113,825.22

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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.