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Finding the Fourth Proportional to 165,866.54, 248,736.75 and 53,529.91

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Solution

The fourth proportional to 165,866.54, 248,736.75 and 53,529.91 is: 80,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866.54 : 248,736.75 = 53,529.91 : x
  2. Step 2: Convert to fraction form
    165,866.54/248,736.75 = 53,529.91/x
  3. Step 3: Cross multiply
    165,866.54x = 248,736.75 × 53,529.91
  4. Step 4: Simplify right side
    165,866.54x = 13,314,856,463.03
  5. Step 5: Solve for x
    x = 13,314,856,463.03/165,866.54
  6. Step 6: Final answer
    x = 80,274.52

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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.