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Finding the Fourth Proportional to 208,276.84, 312,415.17 and 50,505.27

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Solution

The fourth proportional to 208,276.84, 312,415.17 and 50,505.27 is: 75,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,276.84 : 312,415.17 = 50,505.27 : x
  2. Step 2: Convert to fraction form
    208,276.84/312,415.17 = 50,505.27/x
  3. Step 3: Cross multiply
    208,276.84x = 312,415.17 × 50,505.27
  4. Step 4: Simplify right side
    208,276.84x = 15,778,612,512.95
  5. Step 5: Solve for x
    x = 15,778,612,512.95/208,276.84
  6. Step 6: Final answer
    x = 75,757.88

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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.