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Finding the Fourth Proportional to 333,506.25, 500,311.22 and 111,942.09

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Solution

The fourth proportional to 333,506.25, 500,311.22 and 111,942.09 is: 167,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,506.25 : 500,311.22 = 111,942.09 : x
  2. Step 2: Convert to fraction form
    333,506.25/500,311.22 = 111,942.09/x
  3. Step 3: Cross multiply
    333,506.25x = 500,311.22 × 111,942.09
  4. Step 4: Simplify right side
    333,506.25x = 56,005,883,057.54
  5. Step 5: Solve for x
    x = 56,005,883,057.54/333,506.25
  6. Step 6: Final answer
    x = 167,930.54

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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.