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Finding the Fourth Proportional to 275,773.90, 413,223.45 and 182,170.30

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Solution

The fourth proportional to 275,773.90, 413,223.45 and 182,170.30 is: 272,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,773.90 : 413,223.45 = 182,170.30 : x
  2. Step 2: Convert to fraction form
    275,773.90/413,223.45 = 182,170.30/x
  3. Step 3: Cross multiply
    275,773.90x = 413,223.45 × 182,170.30
  4. Step 4: Simplify right side
    275,773.90x = 75,277,039,853.54
  5. Step 5: Solve for x
    x = 75,277,039,853.54/275,773.90
  6. Step 6: Final answer
    x = 272,966.51

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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.