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Finding the Fourth Proportional to 120,161.82, 165,822.55 and 71,785.72

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Solution

The fourth proportional to 120,161.82, 165,822.55 and 71,785.72 is: 99,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,161.82 : 165,822.55 = 71,785.72 : x
  2. Step 2: Convert to fraction form
    120,161.82/165,822.55 = 71,785.72/x
  3. Step 3: Cross multiply
    120,161.82x = 165,822.55 × 71,785.72
  4. Step 4: Simplify right side
    120,161.82x = 11,903,691,143.99
  5. Step 5: Solve for x
    x = 11,903,691,143.99/120,161.82
  6. Step 6: Final answer
    x = 99,063.84

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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.