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Finding the Fourth Proportional to 208,405.28, 312,608.28 and 50,633.84

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Solution

The fourth proportional to 208,405.28, 312,608.28 and 50,633.84 is: 75,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,405.28 : 312,608.28 = 50,633.84 : x
  2. Step 2: Convert to fraction form
    208,405.28/312,608.28 = 50,633.84/x
  3. Step 3: Cross multiply
    208,405.28x = 312,608.28 × 50,633.84
  4. Step 4: Simplify right side
    208,405.28x = 15,828,557,632.20
  5. Step 5: Solve for x
    x = 15,828,557,632.20/208,405.28
  6. Step 6: Final answer
    x = 75,950.85

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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.