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Finding the Fourth Proportional to 100,610.96, 150,776.26 and 75,621.86

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Solution

The fourth proportional to 100,610.96, 150,776.26 and 75,621.86 is: 113,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610.96 : 150,776.26 = 75,621.86 : x
  2. Step 2: Convert to fraction form
    100,610.96/150,776.26 = 75,621.86/x
  3. Step 3: Cross multiply
    100,610.96x = 150,776.26 × 75,621.86
  4. Step 4: Simplify right side
    100,610.96x = 11,401,980,282.11
  5. Step 5: Solve for x
    x = 11,401,980,282.11/100,610.96
  6. Step 6: Final answer
    x = 113,327.41

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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.