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Finding the Fourth Proportional to 110,436.29, 152,408.49 and 83,163.54

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Solution

The fourth proportional to 110,436.29, 152,408.49 and 83,163.54 is: 114,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,436.29 : 152,408.49 = 83,163.54 : x
  2. Step 2: Convert to fraction form
    110,436.29/152,408.49 = 83,163.54/x
  3. Step 3: Cross multiply
    110,436.29x = 152,408.49 × 83,163.54
  4. Step 4: Simplify right side
    110,436.29x = 12,674,829,814.12
  5. Step 5: Solve for x
    x = 12,674,829,814.12/110,436.29
  6. Step 6: Final answer
    x = 114,770.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.