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Finding the Fourth Proportional to 155,745.32, 214,949.09 and 87,777

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Solution

The fourth proportional to 155,745.32, 214,949.09 and 87,777 is: 121,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,745.32 : 214,949.09 = 87,777 : x
  2. Step 2: Convert to fraction form
    155,745.32/214,949.09 = 87,777/x
  3. Step 3: Cross multiply
    155,745.32x = 214,949.09 × 87,777
  4. Step 4: Simplify right side
    155,745.32x = 18,867,586,492.37
  5. Step 5: Solve for x
    x = 18,867,586,492.37/155,745.32
  6. Step 6: Final answer
    x = 121,143.85

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