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Finding the Fourth Proportional to 401,053.50, 601,617.33 and 131,183.16

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Solution

The fourth proportional to 401,053.50, 601,617.33 and 131,183.16 is: 196,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,053.50 : 601,617.33 = 131,183.16 : x
  2. Step 2: Convert to fraction form
    401,053.50/601,617.33 = 131,183.16/x
  3. Step 3: Cross multiply
    401,053.50x = 601,617.33 × 131,183.16
  4. Step 4: Simplify right side
    401,053.50x = 78,922,062,460.16
  5. Step 5: Solve for x
    x = 78,922,062,460.16/401,053.50
  6. Step 6: Final answer
    x = 196,786.87

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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.