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Finding the Fourth Proportional to 208,269.51, 312,405.27 and 50,497.95

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Solution

The fourth proportional to 208,269.51, 312,405.27 and 50,497.95 is: 75,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269.51 : 312,405.27 = 50,497.95 : x
  2. Step 2: Convert to fraction form
    208,269.51/312,405.27 = 50,497.95/x
  3. Step 3: Cross multiply
    208,269.51x = 312,405.27 × 50,497.95
  4. Step 4: Simplify right side
    208,269.51x = 15,775,825,704.20
  5. Step 5: Solve for x
    x = 15,775,825,704.20/208,269.51
  6. Step 6: Final answer
    x = 75,747.17

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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.