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Finding the Fourth Proportional to 188,680.80, 283,021.20 and 83,445.60

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Solution

The fourth proportional to 188,680.80, 283,021.20 and 83,445.60 is: 125,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,680.80 : 283,021.20 = 83,445.60 : x
  2. Step 2: Convert to fraction form
    188,680.80/283,021.20 = 83,445.60/x
  3. Step 3: Cross multiply
    188,680.80x = 283,021.20 × 83,445.60
  4. Step 4: Simplify right side
    188,680.80x = 23,616,873,846.72
  5. Step 5: Solve for x
    x = 23,616,873,846.72/188,680.80
  6. Step 6: Final answer
    x = 125,168.40

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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.