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Finding the Fourth Proportional to 150,744, 208,026.72 and 83,682.24

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Solution

The fourth proportional to 150,744, 208,026.72 and 83,682.24 is: 115,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,744 : 208,026.72 = 83,682.24 : x
  2. Step 2: Convert to fraction form
    150,744/208,026.72 = 83,682.24/x
  3. Step 3: Cross multiply
    150,744x = 208,026.72 × 83,682.24
  4. Step 4: Simplify right side
    150,744x = 17,408,141,909.45
  5. Step 5: Solve for x
    x = 17,408,141,909.45/150,744
  6. Step 6: Final answer
    x = 115,481.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.