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Finding the Fourth Proportional to 164,517.78, 246,785.44 and 52,206.78

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Solution

The fourth proportional to 164,517.78, 246,785.44 and 52,206.78 is: 78,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,517.78 : 246,785.44 = 52,206.78 : x
  2. Step 2: Convert to fraction form
    164,517.78/246,785.44 = 52,206.78/x
  3. Step 3: Cross multiply
    164,517.78x = 246,785.44 × 52,206.78
  4. Step 4: Simplify right side
    164,517.78x = 12,883,873,173.28
  5. Step 5: Solve for x
    x = 12,883,873,173.28/164,517.78
  6. Step 6: Final answer
    x = 78,312.95

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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.