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Finding the Fourth Proportional to 165,537.92, 248,305.58 and 109,628.24

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Solution

The fourth proportional to 165,537.92, 248,305.58 and 109,628.24 is: 164,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537.92 : 248,305.58 = 109,628.24 : x
  2. Step 2: Convert to fraction form
    165,537.92/248,305.58 = 109,628.24/x
  3. Step 3: Cross multiply
    165,537.92x = 248,305.58 × 109,628.24
  4. Step 4: Simplify right side
    165,537.92x = 27,221,303,169.44
  5. Step 5: Solve for x
    x = 27,221,303,169.44/165,537.92
  6. Step 6: Final answer
    x = 164,441.50

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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.