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Finding the Fourth Proportional to 208,761.80, 313,163.19 and 59,003.24

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Solution

The fourth proportional to 208,761.80, 313,163.19 and 59,003.24 is: 88,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761.80 : 313,163.19 = 59,003.24 : x
  2. Step 2: Convert to fraction form
    208,761.80/313,163.19 = 59,003.24/x
  3. Step 3: Cross multiply
    208,761.80x = 313,163.19 × 59,003.24
  4. Step 4: Simplify right side
    208,761.80x = 18,477,641,292.92
  5. Step 5: Solve for x
    x = 18,477,641,292.92/208,761.80
  6. Step 6: Final answer
    x = 88,510.65

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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.