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Finding the Fourth Proportional to 265,984.40, 398,906.40 and 132,766.40

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Solution

The fourth proportional to 265,984.40, 398,906.40 and 132,766.40 is: 199,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,984.40 : 398,906.40 = 132,766.40 : x
  2. Step 2: Convert to fraction form
    265,984.40/398,906.40 = 132,766.40/x
  3. Step 3: Cross multiply
    265,984.40x = 398,906.40 × 132,766.40
  4. Step 4: Simplify right side
    265,984.40x = 52,961,366,664.96
  5. Step 5: Solve for x
    x = 52,961,366,664.96/265,984.40
  6. Step 6: Final answer
    x = 199,114.56

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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.