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Finding the Fourth Proportional to 164,422.80, 246,634.20 and 75,849.30

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Solution

The fourth proportional to 164,422.80, 246,634.20 and 75,849.30 is: 113,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,422.80 : 246,634.20 = 75,849.30 : x
  2. Step 2: Convert to fraction form
    164,422.80/246,634.20 = 75,849.30/x
  3. Step 3: Cross multiply
    164,422.80x = 246,634.20 × 75,849.30
  4. Step 4: Simplify right side
    164,422.80x = 18,707,031,426.06
  5. Step 5: Solve for x
    x = 18,707,031,426.06/164,422.80
  6. Step 6: Final answer
    x = 113,773.95

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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.