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Finding the Fourth Proportional to 229,163.88, 343,755.14 and 109,159.14

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Solution

The fourth proportional to 229,163.88, 343,755.14 and 109,159.14 is: 163,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,163.88 : 343,755.14 = 109,159.14 : x
  2. Step 2: Convert to fraction form
    229,163.88/343,755.14 = 109,159.14/x
  3. Step 3: Cross multiply
    229,163.88x = 343,755.14 × 109,159.14
  4. Step 4: Simplify right side
    229,163.88x = 37,524,015,452.98
  5. Step 5: Solve for x
    x = 37,524,015,452.98/229,163.88
  6. Step 6: Final answer
    x = 163,743.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.