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Finding the Fourth Proportional to 133,399.08, 200,024.72 and 54,568.64

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Solution

The fourth proportional to 133,399.08, 200,024.72 and 54,568.64 is: 81,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,399.08 : 200,024.72 = 54,568.64 : x
  2. Step 2: Convert to fraction form
    133,399.08/200,024.72 = 54,568.64/x
  3. Step 3: Cross multiply
    133,399.08x = 200,024.72 × 54,568.64
  4. Step 4: Simplify right side
    133,399.08x = 10,915,076,936.78
  5. Step 5: Solve for x
    x = 10,915,076,936.78/133,399.08
  6. Step 6: Final answer
    x = 81,822.73

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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.