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Finding the Fourth Proportional to 208,040.74, 312,093.51 and 67,766.74

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Solution

The fourth proportional to 208,040.74, 312,093.51 and 67,766.74 is: 101,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040.74 : 312,093.51 = 67,766.74 : x
  2. Step 2: Convert to fraction form
    208,040.74/312,093.51 = 67,766.74/x
  3. Step 3: Cross multiply
    208,040.74x = 312,093.51 × 67,766.74
  4. Step 4: Simplify right side
    208,040.74x = 21,149,559,747.86
  5. Step 5: Solve for x
    x = 21,149,559,747.86/208,040.74
  6. Step 6: Final answer
    x = 101,660.66

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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.