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Finding the Fourth Proportional to 227,761.56, 341,413.65 and 77,899.41

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Solution

The fourth proportional to 227,761.56, 341,413.65 and 77,899.41 is: 116,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.56 : 341,413.65 = 77,899.41 : x
  2. Step 2: Convert to fraction form
    227,761.56/341,413.65 = 77,899.41/x
  3. Step 3: Cross multiply
    227,761.56x = 341,413.65 × 77,899.41
  4. Step 4: Simplify right side
    227,761.56x = 26,595,921,900.95
  5. Step 5: Solve for x
    x = 26,595,921,900.95/227,761.56
  6. Step 6: Final answer
    x = 116,770.90

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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.