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Finding the Fourth Proportional to 260,968, 360,135.84 and 141,736

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Solution

The fourth proportional to 260,968, 360,135.84 and 141,736 is: 195,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,968 : 360,135.84 = 141,736 : x
  2. Step 2: Convert to fraction form
    260,968/360,135.84 = 141,736/x
  3. Step 3: Cross multiply
    260,968x = 360,135.84 × 141,736
  4. Step 4: Simplify right side
    260,968x = 51,044,213,418.24
  5. Step 5: Solve for x
    x = 51,044,213,418.24/260,968
  6. Step 6: Final answer
    x = 195,595.68

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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.