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Finding the Fourth Proportional to 200,998.20, 301,497.30 and 51,238.20

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Solution

The fourth proportional to 200,998.20, 301,497.30 and 51,238.20 is: 76,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,998.20 : 301,497.30 = 51,238.20 : x
  2. Step 2: Convert to fraction form
    200,998.20/301,497.30 = 51,238.20/x
  3. Step 3: Cross multiply
    200,998.20x = 301,497.30 × 51,238.20
  4. Step 4: Simplify right side
    200,998.20x = 15,448,178,956.86
  5. Step 5: Solve for x
    x = 15,448,178,956.86/200,998.20
  6. Step 6: Final answer
    x = 76,857.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.