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Finding the Fourth Proportional to 188,919.20, 283,443.60 and 83,813.60

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Solution

The fourth proportional to 188,919.20, 283,443.60 and 83,813.60 is: 125,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,919.20 : 283,443.60 = 83,813.60 : x
  2. Step 2: Convert to fraction form
    188,919.20/283,443.60 = 83,813.60/x
  3. Step 3: Cross multiply
    188,919.20x = 283,443.60 × 83,813.60
  4. Step 4: Simplify right side
    188,919.20x = 23,756,428,512.96
  5. Step 5: Solve for x
    x = 23,756,428,512.96/188,919.20
  6. Step 6: Final answer
    x = 125,749.15

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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.