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Finding the Fourth Proportional to 186,919.20, 280,443.60 and 81,813.60

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Solution

The fourth proportional to 186,919.20, 280,443.60 and 81,813.60 is: 122,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,919.20 : 280,443.60 = 81,813.60 : x
  2. Step 2: Convert to fraction form
    186,919.20/280,443.60 = 81,813.60/x
  3. Step 3: Cross multiply
    186,919.20x = 280,443.60 × 81,813.60
  4. Step 4: Simplify right side
    186,919.20x = 22,944,100,512.96
  5. Step 5: Solve for x
    x = 22,944,100,512.96/186,919.20
  6. Step 6: Final answer
    x = 122,748.76

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Why These Related Problems?

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