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Finding the Fourth Proportional to 231,464.56, 347,224.76 and 81,674.04

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Solution

The fourth proportional to 231,464.56, 347,224.76 and 81,674.04 is: 122,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464.56 : 347,224.76 = 81,674.04 : x
  2. Step 2: Convert to fraction form
    231,464.56/347,224.76 = 81,674.04/x
  3. Step 3: Cross multiply
    231,464.56x = 347,224.76 × 81,674.04
  4. Step 4: Simplify right side
    231,464.56x = 28,359,248,937.23
  5. Step 5: Solve for x
    x = 28,359,248,937.23/231,464.56
  6. Step 6: Final answer
    x = 122,520.91

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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.