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Finding the Fourth Proportional to 227,096.36, 311,123.38 and 218,583.24

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Solution

The fourth proportional to 227,096.36, 311,123.38 and 218,583.24 is: 299,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,096.36 : 311,123.38 = 218,583.24 : x
  2. Step 2: Convert to fraction form
    227,096.36/311,123.38 = 218,583.24/x
  3. Step 3: Cross multiply
    227,096.36x = 311,123.38 × 218,583.24
  4. Step 4: Simplify right side
    227,096.36x = 68,006,356,440.15
  5. Step 5: Solve for x
    x = 68,006,356,440.15/227,096.36
  6. Step 6: Final answer
    x = 299,460.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.