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Finding the Fourth Proportional to 165,469.83, 248,219.52 and 64,265.47

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Solution

The fourth proportional to 165,469.83, 248,219.52 and 64,265.47 is: 96,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,469.83 : 248,219.52 = 64,265.47 : x
  2. Step 2: Convert to fraction form
    165,469.83/248,219.52 = 64,265.47/x
  3. Step 3: Cross multiply
    165,469.83x = 248,219.52 × 64,265.47
  4. Step 4: Simplify right side
    165,469.83x = 15,951,943,254.43
  5. Step 5: Solve for x
    x = 15,951,943,254.43/165,469.83
  6. Step 6: Final answer
    x = 96,403.94

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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.