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Finding the Fourth Proportional to 260,766.82, 359,845.77 and 160,145.38

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Solution

The fourth proportional to 260,766.82, 359,845.77 and 160,145.38 is: 220,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,766.82 : 359,845.77 = 160,145.38 : x
  2. Step 2: Convert to fraction form
    260,766.82/359,845.77 = 160,145.38/x
  3. Step 3: Cross multiply
    260,766.82x = 359,845.77 × 160,145.38
  4. Step 4: Simplify right side
    260,766.82x = 57,627,637,578.04
  5. Step 5: Solve for x
    x = 57,627,637,578.04/260,766.82
  6. Step 6: Final answer
    x = 220,992.98

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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.