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Finding the Fourth Proportional to 109,761.84, 164,524.64 and 71,796.80

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Solution

The fourth proportional to 109,761.84, 164,524.64 and 71,796.80 is: 107,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,761.84 : 164,524.64 = 71,796.80 : x
  2. Step 2: Convert to fraction form
    109,761.84/164,524.64 = 71,796.80/x
  3. Step 3: Cross multiply
    109,761.84x = 164,524.64 × 71,796.80
  4. Step 4: Simplify right side
    109,761.84x = 11,812,342,673.15
  5. Step 5: Solve for x
    x = 11,812,342,673.15/109,761.84
  6. Step 6: Final answer
    x = 107,617.94

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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.