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Finding the Fourth Proportional to 281,738.88, 388,803.11 and 154,414.17

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Solution

The fourth proportional to 281,738.88, 388,803.11 and 154,414.17 is: 213,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,738.88 : 388,803.11 = 154,414.17 : x
  2. Step 2: Convert to fraction form
    281,738.88/388,803.11 = 154,414.17/x
  3. Step 3: Cross multiply
    281,738.88x = 388,803.11 × 154,414.17
  4. Step 4: Simplify right side
    281,738.88x = 60,036,708,752.00
  5. Step 5: Solve for x
    x = 60,036,708,752.00/281,738.88
  6. Step 6: Final answer
    x = 213,093.45

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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.