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Finding the Fourth Proportional to 273,205.50, 409,771.33 and 73,537.86

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Solution

The fourth proportional to 273,205.50, 409,771.33 and 73,537.86 is: 110,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,205.50 : 409,771.33 = 73,537.86 : x
  2. Step 2: Convert to fraction form
    273,205.50/409,771.33 = 73,537.86/x
  3. Step 3: Cross multiply
    273,205.50x = 409,771.33 × 73,537.86
  4. Step 4: Simplify right side
    273,205.50x = 30,133,708,050.35
  5. Step 5: Solve for x
    x = 30,133,708,050.35/273,205.50
  6. Step 6: Final answer
    x = 110,296.86

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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.