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Finding the Fourth Proportional to 165,249.48, 247,829.94 and 71,733

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Solution

The fourth proportional to 165,249.48, 247,829.94 and 71,733 is: 107,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,249.48 : 247,829.94 = 71,733 : x
  2. Step 2: Convert to fraction form
    165,249.48/247,829.94 = 71,733/x
  3. Step 3: Cross multiply
    165,249.48x = 247,829.94 × 71,733
  4. Step 4: Simplify right side
    165,249.48x = 17,777,585,086.02
  5. Step 5: Solve for x
    x = 17,777,585,086.02/165,249.48
  6. Step 6: Final answer
    x = 107,580.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.