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Finding the Fourth Proportional to 105,634.26, 145,775.26 and 60,922.26

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Solution

The fourth proportional to 105,634.26, 145,775.26 and 60,922.26 is: 84,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,634.26 : 145,775.26 = 60,922.26 : x
  2. Step 2: Convert to fraction form
    105,634.26/145,775.26 = 60,922.26/x
  3. Step 3: Cross multiply
    105,634.26x = 145,775.26 × 60,922.26
  4. Step 4: Simplify right side
    105,634.26x = 8,880,958,291.29
  5. Step 5: Solve for x
    x = 8,880,958,291.29/105,634.26
  6. Step 6: Final answer
    x = 84,072.71

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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.