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Finding the Fourth Proportional to 105,697.44, 158,350.14 and 75,649.68

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Solution

The fourth proportional to 105,697.44, 158,350.14 and 75,649.68 is: 113,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.44 : 158,350.14 = 75,649.68 : x
  2. Step 2: Convert to fraction form
    105,697.44/158,350.14 = 75,649.68/x
  3. Step 3: Cross multiply
    105,697.44x = 158,350.14 × 75,649.68
  4. Step 4: Simplify right side
    105,697.44x = 11,979,137,418.96
  5. Step 5: Solve for x
    x = 11,979,137,418.96/105,697.44
  6. Step 6: Final answer
    x = 113,334.22

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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.