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Finding the Fourth Proportional to 109,910.67, 164,609.64 and 80,254.95

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Solution

The fourth proportional to 109,910.67, 164,609.64 and 80,254.95 is: 120,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910.67 : 164,609.64 = 80,254.95 : x
  2. Step 2: Convert to fraction form
    109,910.67/164,609.64 = 80,254.95/x
  3. Step 3: Cross multiply
    109,910.67x = 164,609.64 × 80,254.95
  4. Step 4: Simplify right side
    109,910.67x = 13,210,738,427.72
  5. Step 5: Solve for x
    x = 13,210,738,427.72/109,910.67
  6. Step 6: Final answer
    x = 120,195.23

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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.