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Finding the Fourth Proportional to 265,864.56, 397,860.08 and 166,071.75

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Solution

The fourth proportional to 265,864.56, 397,860.08 and 166,071.75 is: 248,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864.56 : 397,860.08 = 166,071.75 : x
  2. Step 2: Convert to fraction form
    265,864.56/397,860.08 = 166,071.75/x
  3. Step 3: Cross multiply
    265,864.56x = 397,860.08 × 166,071.75
  4. Step 4: Simplify right side
    265,864.56x = 66,073,318,910.38
  5. Step 5: Solve for x
    x = 66,073,318,910.38/265,864.56
  6. Step 6: Final answer
    x = 248,522.48

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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.