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Finding the Fourth Proportional to 194,408.35, 268,289.16 and 113,828.33

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Solution

The fourth proportional to 194,408.35, 268,289.16 and 113,828.33 is: 157,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408.35 : 268,289.16 = 113,828.33 : x
  2. Step 2: Convert to fraction form
    194,408.35/268,289.16 = 113,828.33/x
  3. Step 3: Cross multiply
    194,408.35x = 268,289.16 × 113,828.33
  4. Step 4: Simplify right side
    194,408.35x = 30,538,907,039.90
  5. Step 5: Solve for x
    x = 30,538,907,039.90/194,408.35
  6. Step 6: Final answer
    x = 157,086.40

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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.