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Finding the Fourth Proportional to 149,126, 205,793.88 and 82,058

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Solution

The fourth proportional to 149,126, 205,793.88 and 82,058 is: 113,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,126 : 205,793.88 = 82,058 : x
  2. Step 2: Convert to fraction form
    149,126/205,793.88 = 82,058/x
  3. Step 3: Cross multiply
    149,126x = 205,793.88 × 82,058
  4. Step 4: Simplify right side
    149,126x = 16,887,034,205.04
  5. Step 5: Solve for x
    x = 16,887,034,205.04/149,126
  6. Step 6: Final answer
    x = 113,240.04

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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.