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Finding the Fourth Proportional to 219,021.87, 302,249.59 and 122,224.69

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Solution

The fourth proportional to 219,021.87, 302,249.59 and 122,224.69 is: 168,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021.87 : 302,249.59 = 122,224.69 : x
  2. Step 2: Convert to fraction form
    219,021.87/302,249.59 = 122,224.69/x
  3. Step 3: Cross multiply
    219,021.87x = 302,249.59 × 122,224.69
  4. Step 4: Simplify right side
    219,021.87x = 36,942,362,440.38
  5. Step 5: Solve for x
    x = 36,942,362,440.38/219,021.87
  6. Step 6: Final answer
    x = 168,669.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.