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Finding the Fourth Proportional to 208,186.66, 312,280.80 and 50,415.27

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Solution

The fourth proportional to 208,186.66, 312,280.80 and 50,415.27 is: 75,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,186.66 : 312,280.80 = 50,415.27 : x
  2. Step 2: Convert to fraction form
    208,186.66/312,280.80 = 50,415.27/x
  3. Step 3: Cross multiply
    208,186.66x = 312,280.80 × 50,415.27
  4. Step 4: Simplify right side
    208,186.66x = 15,743,720,847.82
  5. Step 5: Solve for x
    x = 15,743,720,847.82/208,186.66
  6. Step 6: Final answer
    x = 75,623.10

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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.