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Finding the Fourth Proportional to 171,828.76, 257,766.57 and 99,815.50

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Solution

The fourth proportional to 171,828.76, 257,766.57 and 99,815.50 is: 149,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828.76 : 257,766.57 = 99,815.50 : x
  2. Step 2: Convert to fraction form
    171,828.76/257,766.57 = 99,815.50/x
  3. Step 3: Cross multiply
    171,828.76x = 257,766.57 × 99,815.50
  4. Step 4: Simplify right side
    171,828.76x = 25,729,099,067.84
  5. Step 5: Solve for x
    x = 25,729,099,067.84/171,828.76
  6. Step 6: Final answer
    x = 149,736.86

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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.