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Finding the Fourth Proportional to 221,714.26, 332,485.11 and 71,918.33

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Solution

The fourth proportional to 221,714.26, 332,485.11 and 71,918.33 is: 107,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,714.26 : 332,485.11 = 71,918.33 : x
  2. Step 2: Convert to fraction form
    221,714.26/332,485.11 = 71,918.33/x
  3. Step 3: Cross multiply
    221,714.26x = 332,485.11 × 71,918.33
  4. Step 4: Simplify right side
    221,714.26x = 23,911,772,198.64
  5. Step 5: Solve for x
    x = 23,911,772,198.64/221,714.26
  6. Step 6: Final answer
    x = 107,849.50

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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.