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Finding the Fourth Proportional to 269,135.26, 403,571.57 and 153,716.33

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Solution

The fourth proportional to 269,135.26, 403,571.57 and 153,716.33 is: 230,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,135.26 : 403,571.57 = 153,716.33 : x
  2. Step 2: Convert to fraction form
    269,135.26/403,571.57 = 153,716.33/x
  3. Step 3: Cross multiply
    269,135.26x = 403,571.57 × 153,716.33
  4. Step 4: Simplify right side
    269,135.26x = 62,035,540,873.09
  5. Step 5: Solve for x
    x = 62,035,540,873.09/269,135.26
  6. Step 6: Final answer
    x = 230,499.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.