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Finding the Fourth Proportional to 194,914.34, 268,936.17 and 114,337.70

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Solution

The fourth proportional to 194,914.34, 268,936.17 and 114,337.70 is: 157,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,914.34 : 268,936.17 = 114,337.70 : x
  2. Step 2: Convert to fraction form
    194,914.34/268,936.17 = 114,337.70/x
  3. Step 3: Cross multiply
    194,914.34x = 268,936.17 × 114,337.70
  4. Step 4: Simplify right side
    194,914.34x = 30,749,543,124.61
  5. Step 5: Solve for x
    x = 30,749,543,124.61/194,914.34
  6. Step 6: Final answer
    x = 157,759.27

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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.