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Finding the Fourth Proportional to 208,850.94, 312,881.85 and 161,873.82

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Solution

The fourth proportional to 208,850.94, 312,881.85 and 161,873.82 is: 242,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,850.94 : 312,881.85 = 161,873.82 : x
  2. Step 2: Convert to fraction form
    208,850.94/312,881.85 = 161,873.82/x
  3. Step 3: Cross multiply
    208,850.94x = 312,881.85 × 161,873.82
  4. Step 4: Simplify right side
    208,850.94x = 50,647,380,268.17
  5. Step 5: Solve for x
    x = 50,647,380,268.17/208,850.94
  6. Step 6: Final answer
    x = 242,504.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.