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Finding the Fourth Proportional to 99,738.25, 149,023.27 and 96,249.98

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Solution

The fourth proportional to 99,738.25, 149,023.27 and 96,249.98 is: 143,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,738.25 : 149,023.27 = 96,249.98 : x
  2. Step 2: Convert to fraction form
    99,738.25/149,023.27 = 96,249.98/x
  3. Step 3: Cross multiply
    99,738.25x = 149,023.27 × 96,249.98
  4. Step 4: Simplify right side
    99,738.25x = 14,343,486,757.03
  5. Step 5: Solve for x
    x = 14,343,486,757.03/99,738.25
  6. Step 6: Final answer
    x = 143,811.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.