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Finding the Fourth Proportional to 180,776.80, 271,163.78 and 54,416.50

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Solution

The fourth proportional to 180,776.80, 271,163.78 and 54,416.50 is: 81,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776.80 : 271,163.78 = 54,416.50 : x
  2. Step 2: Convert to fraction form
    180,776.80/271,163.78 = 54,416.50/x
  3. Step 3: Cross multiply
    180,776.80x = 271,163.78 × 54,416.50
  4. Step 4: Simplify right side
    180,776.80x = 14,755,783,834.37
  5. Step 5: Solve for x
    x = 14,755,783,834.37/180,776.80
  6. Step 6: Final answer
    x = 81,624.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.