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Finding the Fourth Proportional to 260,736, 359,823.36 and 141,511.68

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Solution

The fourth proportional to 260,736, 359,823.36 and 141,511.68 is: 195,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,736 : 359,823.36 = 141,511.68 : x
  2. Step 2: Convert to fraction form
    260,736/359,823.36 = 141,511.68/x
  3. Step 3: Cross multiply
    260,736x = 359,823.36 × 141,511.68
  4. Step 4: Simplify right side
    260,736x = 50,919,208,176.84
  5. Step 5: Solve for x
    x = 50,919,208,176.84/260,736
  6. Step 6: Final answer
    x = 195,290.29

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