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Finding the Fourth Proportional to 190,644.90, 263,089.17 and 105,762

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Solution

The fourth proportional to 190,644.90, 263,089.17 and 105,762 is: 145,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,644.90 : 263,089.17 = 105,762 : x
  2. Step 2: Convert to fraction form
    190,644.90/263,089.17 = 105,762/x
  3. Step 3: Cross multiply
    190,644.90x = 263,089.17 × 105,762
  4. Step 4: Simplify right side
    190,644.90x = 27,824,836,797.54
  5. Step 5: Solve for x
    x = 27,824,836,797.54/190,644.90
  6. Step 6: Final answer
    x = 145,951.12

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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.