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Finding the Fourth Proportional to 260,729.28, 359,806.44 and 141,497.28

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Solution

The fourth proportional to 260,729.28, 359,806.44 and 141,497.28 is: 195,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,729.28 : 359,806.44 = 141,497.28 : x
  2. Step 2: Convert to fraction form
    260,729.28/359,806.44 = 141,497.28/x
  3. Step 3: Cross multiply
    260,729.28x = 359,806.44 × 141,497.28
  4. Step 4: Simplify right side
    260,729.28x = 50,911,632,586.48
  5. Step 5: Solve for x
    x = 50,911,632,586.48/260,729.28
  6. Step 6: Final answer
    x = 195,266.26

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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.