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Finding the Fourth Proportional to 106,571.22, 159,856.56 and 100,075.56

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Solution

The fourth proportional to 106,571.22, 159,856.56 and 100,075.56 is: 150,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,571.22 : 159,856.56 = 100,075.56 : x
  2. Step 2: Convert to fraction form
    106,571.22/159,856.56 = 100,075.56/x
  3. Step 3: Cross multiply
    106,571.22x = 159,856.56 × 100,075.56
  4. Step 4: Simplify right side
    106,571.22x = 15,997,734,761.67
  5. Step 5: Solve for x
    x = 15,997,734,761.67/106,571.22
  6. Step 6: Final answer
    x = 150,113.09

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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.