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Finding the Fourth Proportional to 133,189.12, 199,717.62 and 48,945.88

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Solution

The fourth proportional to 133,189.12, 199,717.62 and 48,945.88 is: 73,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.12 : 199,717.62 = 48,945.88 : x
  2. Step 2: Convert to fraction form
    133,189.12/199,717.62 = 48,945.88/x
  3. Step 3: Cross multiply
    133,189.12x = 199,717.62 × 48,945.88
  4. Step 4: Simplify right side
    133,189.12x = 9,775,354,662.41
  5. Step 5: Solve for x
    x = 9,775,354,662.41/133,189.12
  6. Step 6: Final answer
    x = 73,394.54

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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.