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Finding the Fourth Proportional to 148,433.50, 204,851.19 and 81,378.46

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Solution

The fourth proportional to 148,433.50, 204,851.19 and 81,378.46 is: 112,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,433.50 : 204,851.19 = 81,378.46 : x
  2. Step 2: Convert to fraction form
    148,433.50/204,851.19 = 81,378.46/x
  3. Step 3: Cross multiply
    148,433.50x = 204,851.19 × 81,378.46
  4. Step 4: Simplify right side
    148,433.50x = 16,670,474,371.37
  5. Step 5: Solve for x
    x = 16,670,474,371.37/148,433.50
  6. Step 6: Final answer
    x = 112,309.38

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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.