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Finding the Fourth Proportional to 149,395.68, 206,165.52 and 82,327.68

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Solution

The fourth proportional to 149,395.68, 206,165.52 and 82,327.68 is: 113,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,395.68 : 206,165.52 = 82,327.68 : x
  2. Step 2: Convert to fraction form
    149,395.68/206,165.52 = 82,327.68/x
  3. Step 3: Cross multiply
    149,395.68x = 206,165.52 × 82,327.68
  4. Step 4: Simplify right side
    149,395.68x = 16,973,128,957.59
  5. Step 5: Solve for x
    x = 16,973,128,957.59/149,395.68
  6. Step 6: Final answer
    x = 113,611.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.