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Finding the Fourth Proportional to 171,952.84, 257,980.50 and 82,063.06

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Solution

The fourth proportional to 171,952.84, 257,980.50 and 82,063.06 is: 123,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,952.84 : 257,980.50 = 82,063.06 : x
  2. Step 2: Convert to fraction form
    171,952.84/257,980.50 = 82,063.06/x
  3. Step 3: Cross multiply
    171,952.84x = 257,980.50 × 82,063.06
  4. Step 4: Simplify right side
    171,952.84x = 21,170,669,250.33
  5. Step 5: Solve for x
    x = 21,170,669,250.33/171,952.84
  6. Step 6: Final answer
    x = 123,119.04

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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.