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Finding the Fourth Proportional to 381,801.86, 572,827.37 and 182,096.29

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Solution

The fourth proportional to 381,801.86, 572,827.37 and 182,096.29 is: 273,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,801.86 : 572,827.37 = 182,096.29 : x
  2. Step 2: Convert to fraction form
    381,801.86/572,827.37 = 182,096.29/x
  3. Step 3: Cross multiply
    381,801.86x = 572,827.37 × 182,096.29
  4. Step 4: Simplify right side
    381,801.86x = 104,309,738,693.01
  5. Step 5: Solve for x
    x = 104,309,738,693.01/381,801.86
  6. Step 6: Final answer
    x = 273,203.85

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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.