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Finding the Fourth Proportional to 171,642.50, 257,524.23 and 76,864.94

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Solution

The fourth proportional to 171,642.50, 257,524.23 and 76,864.94 is: 115,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,642.50 : 257,524.23 = 76,864.94 : x
  2. Step 2: Convert to fraction form
    171,642.50/257,524.23 = 76,864.94/x
  3. Step 3: Cross multiply
    171,642.50x = 257,524.23 × 76,864.94
  4. Step 4: Simplify right side
    171,642.50x = 19,794,584,487.50
  5. Step 5: Solve for x
    x = 19,794,584,487.50/171,642.50
  6. Step 6: Final answer
    x = 115,324.49

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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.