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Finding the Fourth Proportional to 141,183.94, 194,836.98 and 77,522

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Solution

The fourth proportional to 141,183.94, 194,836.98 and 77,522 is: 106,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,183.94 : 194,836.98 = 77,522 : x
  2. Step 2: Convert to fraction form
    141,183.94/194,836.98 = 77,522/x
  3. Step 3: Cross multiply
    141,183.94x = 194,836.98 × 77,522
  4. Step 4: Simplify right side
    141,183.94x = 15,104,152,363.56
  5. Step 5: Solve for x
    x = 15,104,152,363.56/141,183.94
  6. Step 6: Final answer
    x = 106,982.09

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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.