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Finding the Fourth Proportional to 133,923.70, 200,743.80 and 49,629.70

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Solution

The fourth proportional to 133,923.70, 200,743.80 and 49,629.70 is: 74,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,923.70 : 200,743.80 = 49,629.70 : x
  2. Step 2: Convert to fraction form
    133,923.70/200,743.80 = 49,629.70/x
  3. Step 3: Cross multiply
    133,923.70x = 200,743.80 × 49,629.70
  4. Step 4: Simplify right side
    133,923.70x = 9,962,854,570.86
  5. Step 5: Solve for x
    x = 9,962,854,570.86/133,923.70
  6. Step 6: Final answer
    x = 74,392.02

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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.