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Finding the Fourth Proportional to 200,783, 301,191.78 and 53,039

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Solution

The fourth proportional to 200,783, 301,191.78 and 53,039 is: 79,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,783 : 301,191.78 = 53,039 : x
  2. Step 2: Convert to fraction form
    200,783/301,191.78 = 53,039/x
  3. Step 3: Cross multiply
    200,783x = 301,191.78 × 53,039
  4. Step 4: Simplify right side
    200,783x = 15,974,910,819.42
  5. Step 5: Solve for x
    x = 15,974,910,819.42/200,783
  6. Step 6: Final answer
    x = 79,563.06

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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.