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Finding the Fourth Proportional to 275,359.43, 413,157.54 and 149,089.91

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Solution

The fourth proportional to 275,359.43, 413,157.54 and 149,089.91 is: 223,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,359.43 : 413,157.54 = 149,089.91 : x
  2. Step 2: Convert to fraction form
    275,359.43/413,157.54 = 149,089.91/x
  3. Step 3: Cross multiply
    275,359.43x = 413,157.54 × 149,089.91
  4. Step 4: Simplify right side
    275,359.43x = 61,597,618,388.63
  5. Step 5: Solve for x
    x = 61,597,618,388.63/275,359.43
  6. Step 6: Final answer
    x = 223,698.97

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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.