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Finding the Fourth Proportional to 149,126.31, 205,794.31 and 82,058.31

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Solution

The fourth proportional to 149,126.31, 205,794.31 and 82,058.31 is: 113,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,126.31 : 205,794.31 = 82,058.31 : x
  2. Step 2: Convert to fraction form
    149,126.31/205,794.31 = 82,058.31/x
  3. Step 3: Cross multiply
    149,126.31x = 205,794.31 × 82,058.31
  4. Step 4: Simplify right side
    149,126.31x = 16,887,134,005.85
  5. Step 5: Solve for x
    x = 16,887,134,005.85/149,126.31
  6. Step 6: Final answer
    x = 113,240.47

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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.