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Finding the Fourth Proportional to 275,058.82, 412,502.78 and 132,815.66

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Solution

The fourth proportional to 275,058.82, 412,502.78 and 132,815.66 is: 199,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,058.82 : 412,502.78 = 132,815.66 : x
  2. Step 2: Convert to fraction form
    275,058.82/412,502.78 = 132,815.66/x
  3. Step 3: Cross multiply
    275,058.82x = 412,502.78 × 132,815.66
  4. Step 4: Simplify right side
    275,058.82x = 54,786,828,269.53
  5. Step 5: Solve for x
    x = 54,786,828,269.53/275,058.82
  6. Step 6: Final answer
    x = 199,182.23

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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.