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Finding the Fourth Proportional to 194,299.72, 290,995.96 and 149,571.56

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Solution

The fourth proportional to 194,299.72, 290,995.96 and 149,571.56 is: 224,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299.72 : 290,995.96 = 149,571.56 : x
  2. Step 2: Convert to fraction form
    194,299.72/290,995.96 = 149,571.56/x
  3. Step 3: Cross multiply
    194,299.72x = 290,995.96 × 149,571.56
  4. Step 4: Simplify right side
    194,299.72x = 43,524,719,690.90
  5. Step 5: Solve for x
    x = 43,524,719,690.90/194,299.72
  6. Step 6: Final answer
    x = 224,008.14

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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.