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Finding the Fourth Proportional to 260,529.92, 359,692.56 and 199,984.64

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Solution

The fourth proportional to 260,529.92, 359,692.56 and 199,984.64 is: 276,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,529.92 : 359,692.56 = 199,984.64 : x
  2. Step 2: Convert to fraction form
    260,529.92/359,692.56 = 199,984.64/x
  3. Step 3: Cross multiply
    260,529.92x = 359,692.56 × 199,984.64
  4. Step 4: Simplify right side
    260,529.92x = 71,932,987,122.28
  5. Step 5: Solve for x
    x = 71,932,987,122.28/260,529.92
  6. Step 6: Final answer
    x = 276,102.60

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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.