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Finding the Fourth Proportional to 149,073.24, 205,718.22 and 82,005.24

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Solution

The fourth proportional to 149,073.24, 205,718.22 and 82,005.24 is: 113,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,073.24 : 205,718.22 = 82,005.24 : x
  2. Step 2: Convert to fraction form
    149,073.24/205,718.22 = 82,005.24/x
  3. Step 3: Cross multiply
    149,073.24x = 205,718.22 × 82,005.24
  4. Step 4: Simplify right side
    149,073.24x = 16,869,972,003.47
  5. Step 5: Solve for x
    x = 16,869,972,003.47/149,073.24
  6. Step 6: Final answer
    x = 113,165.66

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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.