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Finding the Fourth Proportional to 165,268.48, 247,858.44 and 71,752

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Solution

The fourth proportional to 165,268.48, 247,858.44 and 71,752 is: 107,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,268.48 : 247,858.44 = 71,752 : x
  2. Step 2: Convert to fraction form
    165,268.48/247,858.44 = 71,752/x
  3. Step 3: Cross multiply
    165,268.48x = 247,858.44 × 71,752
  4. Step 4: Simplify right side
    165,268.48x = 17,784,338,786.88
  5. Step 5: Solve for x
    x = 17,784,338,786.88/165,268.48
  6. Step 6: Final answer
    x = 107,608.78

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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.