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Finding the Fourth Proportional to 200,797.68, 301,224.48 and 67,716

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Solution

The fourth proportional to 200,797.68, 301,224.48 and 67,716 is: 101,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.68 : 301,224.48 = 67,716 : x
  2. Step 2: Convert to fraction form
    200,797.68/301,224.48 = 67,716/x
  3. Step 3: Cross multiply
    200,797.68x = 301,224.48 × 67,716
  4. Step 4: Simplify right side
    200,797.68x = 20,397,716,887.68
  5. Step 5: Solve for x
    x = 20,397,716,887.68/200,797.68
  6. Step 6: Final answer
    x = 101,583.43

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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.