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Finding the Fourth Proportional to 190,277, 262,582.26 and 105,399.56

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Solution

The fourth proportional to 190,277, 262,582.26 and 105,399.56 is: 145,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,277 : 262,582.26 = 105,399.56 : x
  2. Step 2: Convert to fraction form
    190,277/262,582.26 = 105,399.56/x
  3. Step 3: Cross multiply
    190,277x = 262,582.26 × 105,399.56
  4. Step 4: Simplify right side
    190,277x = 27,676,054,667.81
  5. Step 5: Solve for x
    x = 27,676,054,667.81/190,277
  6. Step 6: Final answer
    x = 145,451.39

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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.