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Finding the Fourth Proportional to 141,219.84, 194,846.16 and 83,844

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Solution

The fourth proportional to 141,219.84, 194,846.16 and 83,844 is: 115,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,219.84 : 194,846.16 = 83,844 : x
  2. Step 2: Convert to fraction form
    141,219.84/194,846.16 = 83,844/x
  3. Step 3: Cross multiply
    141,219.84x = 194,846.16 × 83,844
  4. Step 4: Simplify right side
    141,219.84x = 16,336,681,439.04
  5. Step 5: Solve for x
    x = 16,336,681,439.04/141,219.84
  6. Step 6: Final answer
    x = 115,682.62

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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.