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Finding the Fourth Proportional to 194,107.78, 291,158.97 and 60,996.16

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Solution

The fourth proportional to 194,107.78, 291,158.97 and 60,996.16 is: 91,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,107.78 : 291,158.97 = 60,996.16 : x
  2. Step 2: Convert to fraction form
    194,107.78/291,158.97 = 60,996.16/x
  3. Step 3: Cross multiply
    194,107.78x = 291,158.97 × 60,996.16
  4. Step 4: Simplify right side
    194,107.78x = 17,759,579,119.56
  5. Step 5: Solve for x
    x = 17,759,579,119.56/194,107.78
  6. Step 6: Final answer
    x = 91,493.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.