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Finding the Fourth Proportional to 165,709.98, 248,597.46 and 65,851.56

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Solution

The fourth proportional to 165,709.98, 248,597.46 and 65,851.56 is: 98,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,709.98 : 248,597.46 = 65,851.56 : x
  2. Step 2: Convert to fraction form
    165,709.98/248,597.46 = 65,851.56/x
  3. Step 3: Cross multiply
    165,709.98x = 248,597.46 × 65,851.56
  4. Step 4: Simplify right side
    165,709.98x = 16,370,530,553.04
  5. Step 5: Solve for x
    x = 16,370,530,553.04/165,709.98
  6. Step 6: Final answer
    x = 98,790.25

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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.