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Finding the Fourth Proportional to 275,789.58, 413,298.78 and 149,156.34

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Solution

The fourth proportional to 275,789.58, 413,298.78 and 149,156.34 is: 223,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,789.58 : 413,298.78 = 149,156.34 : x
  2. Step 2: Convert to fraction form
    275,789.58/413,298.78 = 149,156.34/x
  3. Step 3: Cross multiply
    275,789.58x = 413,298.78 × 149,156.34
  4. Step 4: Simplify right side
    275,789.58x = 61,646,133,351.27
  5. Step 5: Solve for x
    x = 61,646,133,351.27/275,789.58
  6. Step 6: Final answer
    x = 223,525.97

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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.