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Finding the Fourth Proportional to 100,213.76, 150,320.64 and 26,336

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Solution

The fourth proportional to 100,213.76, 150,320.64 and 26,336 is: 39,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.76 : 150,320.64 = 26,336 : x
  2. Step 2: Convert to fraction form
    100,213.76/150,320.64 = 26,336/x
  3. Step 3: Cross multiply
    100,213.76x = 150,320.64 × 26,336
  4. Step 4: Simplify right side
    100,213.76x = 3,958,844,375.04
  5. Step 5: Solve for x
    x = 3,958,844,375.04/100,213.76
  6. Step 6: Final answer
    x = 39,504.00

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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.