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Finding the Fourth Proportional to 274,207.52, 378,449.16 and 166,811.24

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Solution

The fourth proportional to 274,207.52, 378,449.16 and 166,811.24 is: 230,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,207.52 : 378,449.16 = 166,811.24 : x
  2. Step 2: Convert to fraction form
    274,207.52/378,449.16 = 166,811.24/x
  3. Step 3: Cross multiply
    274,207.52x = 378,449.16 × 166,811.24
  4. Step 4: Simplify right side
    274,207.52x = 63,129,573,656.56
  5. Step 5: Solve for x
    x = 63,129,573,656.56/274,207.52
  6. Step 6: Final answer
    x = 230,225.54

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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.