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Finding the Fourth Proportional to 200,716.67, 301,075.14 and 50,968.19

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Solution

The fourth proportional to 200,716.67, 301,075.14 and 50,968.19 is: 76,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.67 : 301,075.14 = 50,968.19 : x
  2. Step 2: Convert to fraction form
    200,716.67/301,075.14 = 50,968.19/x
  3. Step 3: Cross multiply
    200,716.67x = 301,075.14 × 50,968.19
  4. Step 4: Simplify right side
    200,716.67x = 15,345,254,939.80
  5. Step 5: Solve for x
    x = 15,345,254,939.80/200,716.67
  6. Step 6: Final answer
    x = 76,452.32

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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.