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Finding the Fourth Proportional to 165,760, 248,679.36 and 54,952

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Solution

The fourth proportional to 165,760, 248,679.36 and 54,952 is: 82,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,760 : 248,679.36 = 54,952 : x
  2. Step 2: Convert to fraction form
    165,760/248,679.36 = 54,952/x
  3. Step 3: Cross multiply
    165,760x = 248,679.36 × 54,952
  4. Step 4: Simplify right side
    165,760x = 13,665,428,190.72
  5. Step 5: Solve for x
    x = 13,665,428,190.72/165,760
  6. Step 6: Final answer
    x = 82,441.05

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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.