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Finding the Fourth Proportional to 194,906.49, 268,972.95 and 114,335.38

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Solution

The fourth proportional to 194,906.49, 268,972.95 and 114,335.38 is: 157,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.49 : 268,972.95 = 114,335.38 : x
  2. Step 2: Convert to fraction form
    194,906.49/268,972.95 = 114,335.38/x
  3. Step 3: Cross multiply
    194,906.49x = 268,972.95 × 114,335.38
  4. Step 4: Simplify right side
    194,906.49x = 30,753,125,212.94
  5. Step 5: Solve for x
    x = 30,753,125,212.94/194,906.49
  6. Step 6: Final answer
    x = 157,784.00

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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.