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Finding the Fourth Proportional to 200,753.12, 301,227.96 and 141,966.56

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Solution

The fourth proportional to 200,753.12, 301,227.96 and 141,966.56 is: 213,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.12 : 301,227.96 = 141,966.56 : x
  2. Step 2: Convert to fraction form
    200,753.12/301,227.96 = 141,966.56/x
  3. Step 3: Cross multiply
    200,753.12x = 301,227.96 × 141,966.56
  4. Step 4: Simplify right side
    200,753.12x = 42,764,297,257.02
  5. Step 5: Solve for x
    x = 42,764,297,257.02/200,753.12
  6. Step 6: Final answer
    x = 213,019.34

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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.