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Finding the Fourth Proportional to 200,486.57, 300,757.49 and 67,377.14

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Solution

The fourth proportional to 200,486.57, 300,757.49 and 67,377.14 is: 101,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,486.57 : 300,757.49 = 67,377.14 : x
  2. Step 2: Convert to fraction form
    200,486.57/300,757.49 = 67,377.14/x
  3. Step 3: Cross multiply
    200,486.57x = 300,757.49 × 67,377.14
  4. Step 4: Simplify right side
    200,486.57x = 20,264,179,049.61
  5. Step 5: Solve for x
    x = 20,264,179,049.61/200,486.57
  6. Step 6: Final answer
    x = 101,075.00

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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.