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Finding the Fourth Proportional to 164,563.80, 246,647.25 and 75,695.46

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Solution

The fourth proportional to 164,563.80, 246,647.25 and 75,695.46 is: 113,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,563.80 : 246,647.25 = 75,695.46 : x
  2. Step 2: Convert to fraction form
    164,563.80/246,647.25 = 75,695.46/x
  3. Step 3: Cross multiply
    164,563.80x = 246,647.25 × 75,695.46
  4. Step 4: Simplify right side
    164,563.80x = 18,670,077,046.49
  5. Step 5: Solve for x
    x = 18,670,077,046.49/164,563.80
  6. Step 6: Final answer
    x = 113,451.91

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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.