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Finding the Fourth Proportional to 273,937.56, 378,150.24 and 166,541.88

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Solution

The fourth proportional to 273,937.56, 378,150.24 and 166,541.88 is: 229,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,937.56 : 378,150.24 = 166,541.88 : x
  2. Step 2: Convert to fraction form
    273,937.56/378,150.24 = 166,541.88/x
  3. Step 3: Cross multiply
    273,937.56x = 378,150.24 × 166,541.88
  4. Step 4: Simplify right side
    273,937.56x = 62,977,851,892.05
  5. Step 5: Solve for x
    x = 62,977,851,892.05/273,937.56
  6. Step 6: Final answer
    x = 229,898.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.