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Finding the Fourth Proportional to 189,752.16, 284,586.24 and 54,786.90

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Solution

The fourth proportional to 189,752.16, 284,586.24 and 54,786.90 is: 82,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,752.16 : 284,586.24 = 54,786.90 : x
  2. Step 2: Convert to fraction form
    189,752.16/284,586.24 = 54,786.90/x
  3. Step 3: Cross multiply
    189,752.16x = 284,586.24 × 54,786.90
  4. Step 4: Simplify right side
    189,752.16x = 15,591,597,872.26
  5. Step 5: Solve for x
    x = 15,591,597,872.26/189,752.16
  6. Step 6: Final answer
    x = 82,168.22

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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.