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Finding the Fourth Proportional to 235,512.90, 325,863.57 and 205,361.10

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Solution

The fourth proportional to 235,512.90, 325,863.57 and 205,361.10 is: 284,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,512.90 : 325,863.57 = 205,361.10 : x
  2. Step 2: Convert to fraction form
    235,512.90/325,863.57 = 205,361.10/x
  3. Step 3: Cross multiply
    235,512.90x = 325,863.57 × 205,361.10
  4. Step 4: Simplify right side
    235,512.90x = 66,919,701,185.13
  5. Step 5: Solve for x
    x = 66,919,701,185.13/235,512.90
  6. Step 6: Final answer
    x = 284,144.53

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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.