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Finding the Fourth Proportional to 171,052.14, 256,578.20 and 76,257.84

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Solution

The fourth proportional to 171,052.14, 256,578.20 and 76,257.84 is: 114,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,052.14 : 256,578.20 = 76,257.84 : x
  2. Step 2: Convert to fraction form
    171,052.14/256,578.20 = 76,257.84/x
  3. Step 3: Cross multiply
    171,052.14x = 256,578.20 × 76,257.84
  4. Step 4: Simplify right side
    171,052.14x = 19,566,099,323.09
  5. Step 5: Solve for x
    x = 19,566,099,323.09/171,052.14
  6. Step 6: Final answer
    x = 114,386.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.