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Finding the Fourth Proportional to 190,274, 262,578.12 and 105,396.54

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Solution

The fourth proportional to 190,274, 262,578.12 and 105,396.54 is: 145,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,274 : 262,578.12 = 105,396.54 : x
  2. Step 2: Convert to fraction form
    190,274/262,578.12 = 105,396.54/x
  3. Step 3: Cross multiply
    190,274x = 262,578.12 × 105,396.54
  4. Step 4: Simplify right side
    190,274x = 27,674,825,327.70
  5. Step 5: Solve for x
    x = 27,674,825,327.70/190,274
  6. Step 6: Final answer
    x = 145,447.23

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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.