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Finding the Fourth Proportional to 100,228, 150,350.88 and 26,356

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Solution

The fourth proportional to 100,228, 150,350.88 and 26,356 is: 39,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 150,350.88 = 26,356 : x
  2. Step 2: Convert to fraction form
    100,228/150,350.88 = 26,356/x
  3. Step 3: Cross multiply
    100,228x = 150,350.88 × 26,356
  4. Step 4: Simplify right side
    100,228x = 3,962,647,793.28
  5. Step 5: Solve for x
    x = 3,962,647,793.28/100,228
  6. Step 6: Final answer
    x = 39,536.34

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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.