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Finding the Fourth Proportional to 307,764.36, 424,380.06 and 200,134.80

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Solution

The fourth proportional to 307,764.36, 424,380.06 and 200,134.80 is: 275,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.36 : 424,380.06 = 200,134.80 : x
  2. Step 2: Convert to fraction form
    307,764.36/424,380.06 = 200,134.80/x
  3. Step 3: Cross multiply
    307,764.36x = 424,380.06 × 200,134.80
  4. Step 4: Simplify right side
    307,764.36x = 84,933,218,432.09
  5. Step 5: Solve for x
    x = 84,933,218,432.09/307,764.36
  6. Step 6: Final answer
    x = 275,968.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.