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Finding the Fourth Proportional to 149,358.32, 206,114.37 and 82,290.32

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Solution

The fourth proportional to 149,358.32, 206,114.37 and 82,290.32 is: 113,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,358.32 : 206,114.37 = 82,290.32 : x
  2. Step 2: Convert to fraction form
    149,358.32/206,114.37 = 82,290.32/x
  3. Step 3: Cross multiply
    149,358.32x = 206,114.37 × 82,290.32
  4. Step 4: Simplify right side
    149,358.32x = 16,961,217,463.90
  5. Step 5: Solve for x
    x = 16,961,217,463.90/149,358.32
  6. Step 6: Final answer
    x = 113,560.58

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