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Finding the Fourth Proportional to 200,882.56, 301,113.60 and 67,716.80

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Solution

The fourth proportional to 200,882.56, 301,113.60 and 67,716.80 is: 101,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882.56 : 301,113.60 = 67,716.80 : x
  2. Step 2: Convert to fraction form
    200,882.56/301,113.60 = 67,716.80/x
  3. Step 3: Cross multiply
    200,882.56x = 301,113.60 × 67,716.80
  4. Step 4: Simplify right side
    200,882.56x = 20,390,449,428.48
  5. Step 5: Solve for x
    x = 20,390,449,428.48/200,882.56
  6. Step 6: Final answer
    x = 101,504.33

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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.