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Finding the Fourth Proportional to 165,682.26, 248,532.30 and 53,354.30

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Solution

The fourth proportional to 165,682.26, 248,532.30 and 53,354.30 is: 80,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,682.26 : 248,532.30 = 53,354.30 : x
  2. Step 2: Convert to fraction form
    165,682.26/248,532.30 = 53,354.30/x
  3. Step 3: Cross multiply
    165,682.26x = 248,532.30 × 53,354.30
  4. Step 4: Simplify right side
    165,682.26x = 13,260,265,651.23
  5. Step 5: Solve for x
    x = 13,260,265,651.23/165,682.26
  6. Step 6: Final answer
    x = 80,034.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.