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Finding the Fourth Proportional to 194,629.26, 268,588.26 and 105,205.26

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Solution

The fourth proportional to 194,629.26, 268,588.26 and 105,205.26 is: 145,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,629.26 : 268,588.26 = 105,205.26 : x
  2. Step 2: Convert to fraction form
    194,629.26/268,588.26 = 105,205.26/x
  3. Step 3: Cross multiply
    194,629.26x = 268,588.26 × 105,205.26
  4. Step 4: Simplify right side
    194,629.26x = 28,256,897,726.25
  5. Step 5: Solve for x
    x = 28,256,897,726.25/194,629.26
  6. Step 6: Final answer
    x = 145,183.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.