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Finding the Fourth Proportional to 260,990, 360,166.56 and 141,758

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Solution

The fourth proportional to 260,990, 360,166.56 and 141,758 is: 195,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,990 : 360,166.56 = 141,758 : x
  2. Step 2: Convert to fraction form
    260,990/360,166.56 = 141,758/x
  3. Step 3: Cross multiply
    260,990x = 360,166.56 × 141,758
  4. Step 4: Simplify right side
    260,990x = 51,056,491,212.48
  5. Step 5: Solve for x
    x = 51,056,491,212.48/260,990
  6. Step 6: Final answer
    x = 195,626.24

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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.