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Finding the Fourth Proportional to 120,111.92, 165,770.34 and 116,168.84

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Solution

The fourth proportional to 120,111.92, 165,770.34 and 116,168.84 is: 160,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,111.92 : 165,770.34 = 116,168.84 : x
  2. Step 2: Convert to fraction form
    120,111.92/165,770.34 = 116,168.84/x
  3. Step 3: Cross multiply
    120,111.92x = 165,770.34 × 116,168.84
  4. Step 4: Simplify right side
    120,111.92x = 19,257,348,104.21
  5. Step 5: Solve for x
    x = 19,257,348,104.21/120,111.92
  6. Step 6: Final answer
    x = 160,328.37

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Why These Related Problems?

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