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Finding the Fourth Proportional to 164,584.21, 246,851.09 and 52,249.87

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Solution

The fourth proportional to 164,584.21, 246,851.09 and 52,249.87 is: 78,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,584.21 : 246,851.09 = 52,249.87 : x
  2. Step 2: Convert to fraction form
    164,584.21/246,851.09 = 52,249.87/x
  3. Step 3: Cross multiply
    164,584.21x = 246,851.09 × 52,249.87
  4. Step 4: Simplify right side
    164,584.21x = 12,897,935,866.35
  5. Step 5: Solve for x
    x = 12,897,935,866.35/164,584.21
  6. Step 6: Final answer
    x = 78,366.79

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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.