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Finding the Fourth Proportional to 208,275.84, 312,413.67 and 50,504.27

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Solution

The fourth proportional to 208,275.84, 312,413.67 and 50,504.27 is: 75,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,275.84 : 312,413.67 = 50,504.27 : x
  2. Step 2: Convert to fraction form
    208,275.84/312,413.67 = 50,504.27/x
  3. Step 3: Cross multiply
    208,275.84x = 312,413.67 × 50,504.27
  4. Step 4: Simplify right side
    208,275.84x = 15,778,222,779.30
  5. Step 5: Solve for x
    x = 15,778,222,779.30/208,275.84
  6. Step 6: Final answer
    x = 75,756.38

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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.