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Finding the Fourth Proportional to 227,695, 341,586.24 and 103,036

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Solution

The fourth proportional to 227,695, 341,586.24 and 103,036 is: 154,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,695 : 341,586.24 = 103,036 : x
  2. Step 2: Convert to fraction form
    227,695/341,586.24 = 103,036/x
  3. Step 3: Cross multiply
    227,695x = 341,586.24 × 103,036
  4. Step 4: Simplify right side
    227,695x = 35,195,679,824.64
  5. Step 5: Solve for x
    x = 35,195,679,824.64/227,695
  6. Step 6: Final answer
    x = 154,573.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.