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Finding the Fourth Proportional to 260,713, 359,783.94 and 141,481

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Solution

The fourth proportional to 260,713, 359,783.94 and 141,481 is: 195,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,713 : 359,783.94 = 141,481 : x
  2. Step 2: Convert to fraction form
    260,713/359,783.94 = 141,481/x
  3. Step 3: Cross multiply
    260,713x = 359,783.94 × 141,481
  4. Step 4: Simplify right side
    260,713x = 50,902,591,615.14
  5. Step 5: Solve for x
    x = 50,902,591,615.14/260,713
  6. Step 6: Final answer
    x = 195,243.78

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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.