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Finding the Fourth Proportional to 241,138.31, 361,703.82 and 100,896.94

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Solution

The fourth proportional to 241,138.31, 361,703.82 and 100,896.94 is: 151,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,138.31 : 361,703.82 = 100,896.94 : x
  2. Step 2: Convert to fraction form
    241,138.31/361,703.82 = 100,896.94/x
  3. Step 3: Cross multiply
    241,138.31x = 361,703.82 × 100,896.94
  4. Step 4: Simplify right side
    241,138.31x = 36,494,806,815.79
  5. Step 5: Solve for x
    x = 36,494,806,815.79/241,138.31
  6. Step 6: Final answer
    x = 151,343.88

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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.