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Finding the Fourth Proportional to 260,759.82, 359,836.11 and 160,138.38

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Solution

The fourth proportional to 260,759.82, 359,836.11 and 160,138.38 is: 220,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,759.82 : 359,836.11 = 160,138.38 : x
  2. Step 2: Convert to fraction form
    260,759.82/359,836.11 = 160,138.38/x
  3. Step 3: Cross multiply
    260,759.82x = 359,836.11 × 160,138.38
  4. Step 4: Simplify right side
    260,759.82x = 57,623,571,720.90
  5. Step 5: Solve for x
    x = 57,623,571,720.90/260,759.82
  6. Step 6: Final answer
    x = 220,983.32

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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.