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Finding the Fourth Proportional to 143,745.98, 198,369.38 and 83,351.76

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Solution

The fourth proportional to 143,745.98, 198,369.38 and 83,351.76 is: 115,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,745.98 : 198,369.38 = 83,351.76 : x
  2. Step 2: Convert to fraction form
    143,745.98/198,369.38 = 83,351.76/x
  3. Step 3: Cross multiply
    143,745.98x = 198,369.38 × 83,351.76
  4. Step 4: Simplify right side
    143,745.98x = 16,534,436,536.35
  5. Step 5: Solve for x
    x = 16,534,436,536.35/143,745.98
  6. Step 6: Final answer
    x = 115,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.