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Finding the Fourth Proportional to 200,716.92, 301,075.52 and 50,968.44

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Solution

The fourth proportional to 200,716.92, 301,075.52 and 50,968.44 is: 76,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.92 : 301,075.52 = 50,968.44 : x
  2. Step 2: Convert to fraction form
    200,716.92/301,075.52 = 50,968.44/x
  3. Step 3: Cross multiply
    200,716.92x = 301,075.52 × 50,968.44
  4. Step 4: Simplify right side
    200,716.92x = 15,345,349,321.75
  5. Step 5: Solve for x
    x = 15,345,349,321.75/200,716.92
  6. Step 6: Final answer
    x = 76,452.69

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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.