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Finding the Fourth Proportional to 210,480.36, 290,469.24 and 114,993.24

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Solution

The fourth proportional to 210,480.36, 290,469.24 and 114,993.24 is: 158,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480.36 : 290,469.24 = 114,993.24 : x
  2. Step 2: Convert to fraction form
    210,480.36/290,469.24 = 114,993.24/x
  3. Step 3: Cross multiply
    210,480.36x = 290,469.24 × 114,993.24
  4. Step 4: Simplify right side
    210,480.36x = 33,401,999,027.94
  5. Step 5: Solve for x
    x = 33,401,999,027.94/210,480.36
  6. Step 6: Final answer
    x = 158,694.14

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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.