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Finding the Fourth Proportional to 231,220.46, 346,825.86 and 106,561.46

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Solution

The fourth proportional to 231,220.46, 346,825.86 and 106,561.46 is: 159,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,220.46 : 346,825.86 = 106,561.46 : x
  2. Step 2: Convert to fraction form
    231,220.46/346,825.86 = 106,561.46/x
  3. Step 3: Cross multiply
    231,220.46x = 346,825.86 × 106,561.46
  4. Step 4: Simplify right side
    231,220.46x = 36,958,270,007.36
  5. Step 5: Solve for x
    x = 36,958,270,007.36/231,220.46
  6. Step 6: Final answer
    x = 159,839.96

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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.