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Finding the Fourth Proportional to 180,212.99, 270,358.16 and 53,863.11

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Solution

The fourth proportional to 180,212.99, 270,358.16 and 53,863.11 is: 80,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,212.99 : 270,358.16 = 53,863.11 : x
  2. Step 2: Convert to fraction form
    180,212.99/270,358.16 = 53,863.11/x
  3. Step 3: Cross multiply
    180,212.99x = 270,358.16 × 53,863.11
  4. Step 4: Simplify right side
    180,212.99x = 14,562,331,042.16
  5. Step 5: Solve for x
    x = 14,562,331,042.16/180,212.99
  6. Step 6: Final answer
    x = 80,806.23

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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.