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Finding the Fourth Proportional to 381,771.12, 572,403.92 and 182,122.32

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Solution

The fourth proportional to 381,771.12, 572,403.92 and 182,122.32 is: 273,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,771.12 : 572,403.92 = 182,122.32 : x
  2. Step 2: Convert to fraction form
    381,771.12/572,403.92 = 182,122.32/x
  3. Step 3: Cross multiply
    381,771.12x = 572,403.92 × 182,122.32
  4. Step 4: Simplify right side
    381,771.12x = 104,247,529,887.49
  5. Step 5: Solve for x
    x = 104,247,529,887.49/381,771.12
  6. Step 6: Final answer
    x = 273,062.90

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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.