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Finding the Fourth Proportional to 313,814.50, 470,801.67 and 92,198.50

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Solution

The fourth proportional to 313,814.50, 470,801.67 and 92,198.50 is: 138,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,814.50 : 470,801.67 = 92,198.50 : x
  2. Step 2: Convert to fraction form
    313,814.50/470,801.67 = 92,198.50/x
  3. Step 3: Cross multiply
    313,814.50x = 470,801.67 × 92,198.50
  4. Step 4: Simplify right side
    313,814.50x = 43,407,207,771.50
  5. Step 5: Solve for x
    x = 43,407,207,771.50/313,814.50
  6. Step 6: Final answer
    x = 138,321.23

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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.