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Finding the Fourth Proportional to 260,995, 360,173.46 and 141,763

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Solution

The fourth proportional to 260,995, 360,173.46 and 141,763 is: 195,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,995 : 360,173.46 = 141,763 : x
  2. Step 2: Convert to fraction form
    260,995/360,173.46 = 141,763/x
  3. Step 3: Cross multiply
    260,995x = 360,173.46 × 141,763
  4. Step 4: Simplify right side
    260,995x = 51,059,270,209.98
  5. Step 5: Solve for x
    x = 51,059,270,209.98/260,995
  6. Step 6: Final answer
    x = 195,633.14

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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.