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Finding the Fourth Proportional to 133,165.22, 199,720.89 and 48,896.46

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Solution

The fourth proportional to 133,165.22, 199,720.89 and 48,896.46 is: 73,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165.22 : 199,720.89 = 48,896.46 : x
  2. Step 2: Convert to fraction form
    133,165.22/199,720.89 = 48,896.46/x
  3. Step 3: Cross multiply
    133,165.22x = 199,720.89 × 48,896.46
  4. Step 4: Simplify right side
    133,165.22x = 9,765,644,509.05
  5. Step 5: Solve for x
    x = 9,765,644,509.05/133,165.22
  6. Step 6: Final answer
    x = 73,334.80

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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.