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Finding the Fourth Proportional to 280,185.28, 420,277.92 and 120,224.32

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Solution

The fourth proportional to 280,185.28, 420,277.92 and 120,224.32 is: 180,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,185.28 : 420,277.92 = 120,224.32 : x
  2. Step 2: Convert to fraction form
    280,185.28/420,277.92 = 120,224.32/x
  3. Step 3: Cross multiply
    280,185.28x = 420,277.92 × 120,224.32
  4. Step 4: Simplify right side
    280,185.28x = 50,527,627,143.01
  5. Step 5: Solve for x
    x = 50,527,627,143.01/280,185.28
  6. Step 6: Final answer
    x = 180,336.48

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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.