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Finding the Fourth Proportional to 149,745.95, 206,647.85 and 81,762.73

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Solution

The fourth proportional to 149,745.95, 206,647.85 and 81,762.73 is: 112,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,745.95 : 206,647.85 = 81,762.73 : x
  2. Step 2: Convert to fraction form
    149,745.95/206,647.85 = 81,762.73/x
  3. Step 3: Cross multiply
    149,745.95x = 206,647.85 × 81,762.73
  4. Step 4: Simplify right side
    149,745.95x = 16,896,090,922.58
  5. Step 5: Solve for x
    x = 16,896,090,922.58/149,745.95
  6. Step 6: Final answer
    x = 112,831.71

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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.