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Finding the Fourth Proportional to 221,918.16, 332,893.98 and 64,147.80

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Solution

The fourth proportional to 221,918.16, 332,893.98 and 64,147.80 is: 96,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,918.16 : 332,893.98 = 64,147.80 : x
  2. Step 2: Convert to fraction form
    221,918.16/332,893.98 = 64,147.80/x
  3. Step 3: Cross multiply
    221,918.16x = 332,893.98 × 64,147.80
  4. Step 4: Simplify right side
    221,918.16x = 21,354,416,450.24
  5. Step 5: Solve for x
    x = 21,354,416,450.24/221,918.16
  6. Step 6: Final answer
    x = 96,226.54

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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.