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Finding the Fourth Proportional to 190,163.25, 262,425.29 and 105,285.78

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Solution

The fourth proportional to 190,163.25, 262,425.29 and 105,285.78 is: 145,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,163.25 : 262,425.29 = 105,285.78 : x
  2. Step 2: Convert to fraction form
    190,163.25/262,425.29 = 105,285.78/x
  3. Step 3: Cross multiply
    190,163.25x = 262,425.29 × 105,285.78
  4. Step 4: Simplify right side
    190,163.25x = 27,629,650,822.95
  5. Step 5: Solve for x
    x = 27,629,650,822.95/190,163.25
  6. Step 6: Final answer
    x = 145,294.38

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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.