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Finding the Fourth Proportional to 149,326.20, 206,070.16 and 82,258.20

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Solution

The fourth proportional to 149,326.20, 206,070.16 and 82,258.20 is: 113,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,326.20 : 206,070.16 = 82,258.20 : x
  2. Step 2: Convert to fraction form
    149,326.20/206,070.16 = 82,258.20/x
  3. Step 3: Cross multiply
    149,326.20x = 206,070.16 × 82,258.20
  4. Step 4: Simplify right side
    149,326.20x = 16,950,960,435.31
  5. Step 5: Solve for x
    x = 16,950,960,435.31/149,326.20
  6. Step 6: Final answer
    x = 113,516.32

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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.