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Finding the Fourth Proportional to 194,057.50, 291,086.25 and 53,816.13

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Solution

The fourth proportional to 194,057.50, 291,086.25 and 53,816.13 is: 80,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,057.50 : 291,086.25 = 53,816.13 : x
  2. Step 2: Convert to fraction form
    194,057.50/291,086.25 = 53,816.13/x
  3. Step 3: Cross multiply
    194,057.50x = 291,086.25 × 53,816.13
  4. Step 4: Simplify right side
    194,057.50x = 15,665,135,471.21
  5. Step 5: Solve for x
    x = 15,665,135,471.21/194,057.50
  6. Step 6: Final answer
    x = 80,724.20

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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.