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Finding the Fourth Proportional to 190,446.56, 262,812 and 105,562.88

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Solution

The fourth proportional to 190,446.56, 262,812 and 105,562.88 is: 145,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,446.56 : 262,812 = 105,562.88 : x
  2. Step 2: Convert to fraction form
    190,446.56/262,812 = 105,562.88/x
  3. Step 3: Cross multiply
    190,446.56x = 262,812 × 105,562.88
  4. Step 4: Simplify right side
    190,446.56x = 27,743,191,618.56
  5. Step 5: Solve for x
    x = 27,743,191,618.56/190,446.56
  6. Step 6: Final answer
    x = 145,674.42

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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.