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Finding the Fourth Proportional to 100,746.74, 150,828.30 and 75,891.48

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Solution

The fourth proportional to 100,746.74, 150,828.30 and 75,891.48 is: 113,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,746.74 : 150,828.30 = 75,891.48 : x
  2. Step 2: Convert to fraction form
    100,746.74/150,828.30 = 75,891.48/x
  3. Step 3: Cross multiply
    100,746.74x = 150,828.30 × 75,891.48
  4. Step 4: Simplify right side
    100,746.74x = 11,446,582,912.88
  5. Step 5: Solve for x
    x = 11,446,582,912.88/100,746.74
  6. Step 6: Final answer
    x = 113,617.41

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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.