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Finding the Fourth Proportional to 133,276.78, 199,993.92 and 49,096

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Solution

The fourth proportional to 133,276.78, 199,993.92 and 49,096 is: 73,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,276.78 : 199,993.92 = 49,096 : x
  2. Step 2: Convert to fraction form
    133,276.78/199,993.92 = 49,096/x
  3. Step 3: Cross multiply
    133,276.78x = 199,993.92 × 49,096
  4. Step 4: Simplify right side
    133,276.78x = 9,818,901,496.32
  5. Step 5: Solve for x
    x = 9,818,901,496.32/133,276.78
  6. Step 6: Final answer
    x = 73,673.01

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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.