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Finding the Fourth Proportional to 148,099.24, 204,371.94 and 81,029.80

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Solution

The fourth proportional to 148,099.24, 204,371.94 and 81,029.80 is: 111,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,099.24 : 204,371.94 = 81,029.80 : x
  2. Step 2: Convert to fraction form
    148,099.24/204,371.94 = 81,029.80/x
  3. Step 3: Cross multiply
    148,099.24x = 204,371.94 × 81,029.80
  4. Step 4: Simplify right side
    148,099.24x = 16,560,217,423.81
  5. Step 5: Solve for x
    x = 16,560,217,423.81/148,099.24
  6. Step 6: Final answer
    x = 111,818.38

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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.