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Finding the Fourth Proportional to 194,407.35, 268,287.78 and 113,827.33

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Solution

The fourth proportional to 194,407.35, 268,287.78 and 113,827.33 is: 157,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,407.35 : 268,287.78 = 113,827.33 : x
  2. Step 2: Convert to fraction form
    194,407.35/268,287.78 = 113,827.33/x
  3. Step 3: Cross multiply
    194,407.35x = 268,287.78 × 113,827.33
  4. Step 4: Simplify right side
    194,407.35x = 30,538,481,669.03
  5. Step 5: Solve for x
    x = 30,538,481,669.03/194,407.35
  6. Step 6: Final answer
    x = 157,085.02

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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.