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Finding the Fourth Proportional to 186,896.20, 280,344.30 and 140,240.20

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Solution

The fourth proportional to 186,896.20, 280,344.30 and 140,240.20 is: 210,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896.20 : 280,344.30 = 140,240.20 : x
  2. Step 2: Convert to fraction form
    186,896.20/280,344.30 = 140,240.20/x
  3. Step 3: Cross multiply
    186,896.20x = 280,344.30 × 140,240.20
  4. Step 4: Simplify right side
    186,896.20x = 39,315,540,700.86
  5. Step 5: Solve for x
    x = 39,315,540,700.86/186,896.20
  6. Step 6: Final answer
    x = 210,360.30

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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.