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Finding the Fourth Proportional to 253,968.88, 350,406.12 and 200,086.64

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Solution

The fourth proportional to 253,968.88, 350,406.12 and 200,086.64 is: 276,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,968.88 : 350,406.12 = 200,086.64 : x
  2. Step 2: Convert to fraction form
    253,968.88/350,406.12 = 200,086.64/x
  3. Step 3: Cross multiply
    253,968.88x = 350,406.12 × 200,086.64
  4. Step 4: Simplify right side
    253,968.88x = 70,111,583,186.24
  5. Step 5: Solve for x
    x = 70,111,583,186.24/253,968.88
  6. Step 6: Final answer
    x = 276,063.68

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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.