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Finding the Fourth Proportional to 265,861.56, 397,855.56 and 166,068.75

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Solution

The fourth proportional to 265,861.56, 397,855.56 and 166,068.75 is: 248,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,861.56 : 397,855.56 = 166,068.75 : x
  2. Step 2: Convert to fraction form
    265,861.56/397,855.56 = 166,068.75/x
  3. Step 3: Cross multiply
    265,861.56x = 397,855.56 × 166,068.75
  4. Step 4: Simplify right side
    265,861.56x = 66,071,375,529.75
  5. Step 5: Solve for x
    x = 66,071,375,529.75/265,861.56
  6. Step 6: Final answer
    x = 248,517.97

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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.