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Finding the Fourth Proportional to 171,900.70, 257,903.84 and 82,058.06

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Solution

The fourth proportional to 171,900.70, 257,903.84 and 82,058.06 is: 123,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,900.70 : 257,903.84 = 82,058.06 : x
  2. Step 2: Convert to fraction form
    171,900.70/257,903.84 = 82,058.06/x
  3. Step 3: Cross multiply
    171,900.70x = 257,903.84 × 82,058.06
  4. Step 4: Simplify right side
    171,900.70x = 21,163,087,077.14
  5. Step 5: Solve for x
    x = 21,163,087,077.14/171,900.70
  6. Step 6: Final answer
    x = 123,112.28

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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.