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Finding the Fourth Proportional to 133,273.50, 199,910.28 and 34,777.50

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Solution

The fourth proportional to 133,273.50, 199,910.28 and 34,777.50 is: 52,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,273.50 : 199,910.28 = 34,777.50 : x
  2. Step 2: Convert to fraction form
    133,273.50/199,910.28 = 34,777.50/x
  3. Step 3: Cross multiply
    133,273.50x = 199,910.28 × 34,777.50
  4. Step 4: Simplify right side
    133,273.50x = 6,952,379,762.70
  5. Step 5: Solve for x
    x = 6,952,379,762.70/133,273.50
  6. Step 6: Final answer
    x = 52,166.26

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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.