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Finding the Fourth Proportional to 133,833.41, 200,761.91 and 37,771.47

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Solution

The fourth proportional to 133,833.41, 200,761.91 and 37,771.47 is: 56,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,833.41 : 200,761.91 = 37,771.47 : x
  2. Step 2: Convert to fraction form
    133,833.41/200,761.91 = 37,771.47/x
  3. Step 3: Cross multiply
    133,833.41x = 200,761.91 × 37,771.47
  4. Step 4: Simplify right side
    133,833.41x = 7,583,072,271.85
  5. Step 5: Solve for x
    x = 7,583,072,271.85/133,833.41
  6. Step 6: Final answer
    x = 56,660.53

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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.