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Finding the Fourth Proportional to 300,839, 415,162.42 and 164,871.84

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Solution

The fourth proportional to 300,839, 415,162.42 and 164,871.84 is: 227,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,839 : 415,162.42 = 164,871.84 : x
  2. Step 2: Convert to fraction form
    300,839/415,162.42 = 164,871.84/x
  3. Step 3: Cross multiply
    300,839x = 415,162.42 × 164,871.84
  4. Step 4: Simplify right side
    300,839x = 68,448,592,084.25
  5. Step 5: Solve for x
    x = 68,448,592,084.25/300,839
  6. Step 6: Final answer
    x = 227,525.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.