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Finding the Fourth Proportional to 194,238, 291,357.09 and 53,997.84

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Solution

The fourth proportional to 194,238, 291,357.09 and 53,997.84 is: 80,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,238 : 291,357.09 = 53,997.84 : x
  2. Step 2: Convert to fraction form
    194,238/291,357.09 = 53,997.84/x
  3. Step 3: Cross multiply
    194,238x = 291,357.09 × 53,997.84
  4. Step 4: Simplify right side
    194,238x = 15,732,653,528.69
  5. Step 5: Solve for x
    x = 15,732,653,528.69/194,238
  6. Step 6: Final answer
    x = 80,996.79

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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.