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Finding the Fourth Proportional to 260,698.79, 359,765.26 and 145,982.44

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Solution

The fourth proportional to 260,698.79, 359,765.26 and 145,982.44 is: 201,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.79 : 359,765.26 = 145,982.44 : x
  2. Step 2: Convert to fraction form
    260,698.79/359,765.26 = 145,982.44/x
  3. Step 3: Cross multiply
    260,698.79x = 359,765.26 × 145,982.44
  4. Step 4: Simplify right side
    260,698.79x = 52,519,410,482.03
  5. Step 5: Solve for x
    x = 52,519,410,482.03/260,698.79
  6. Step 6: Final answer
    x = 201,456.29

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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.