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Finding the Fourth Proportional to 180,311.28, 248,745.76 and 116,669.60

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Solution

The fourth proportional to 180,311.28, 248,745.76 and 116,669.60 is: 160,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311.28 : 248,745.76 = 116,669.60 : x
  2. Step 2: Convert to fraction form
    180,311.28/248,745.76 = 116,669.60/x
  3. Step 3: Cross multiply
    180,311.28x = 248,745.76 × 116,669.60
  4. Step 4: Simplify right side
    180,311.28x = 29,021,068,320.90
  5. Step 5: Solve for x
    x = 29,021,068,320.90/180,311.28
  6. Step 6: Final answer
    x = 160,949.82

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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.