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Finding the Fourth Proportional to 149,617, 206,475.78 and 82,553.32

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Solution

The fourth proportional to 149,617, 206,475.78 and 82,553.32 is: 113,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617 : 206,475.78 = 82,553.32 : x
  2. Step 2: Convert to fraction form
    149,617/206,475.78 = 82,553.32/x
  3. Step 3: Cross multiply
    149,617x = 206,475.78 × 82,553.32
  4. Step 4: Simplify right side
    149,617x = 17,045,261,138.59
  5. Step 5: Solve for x
    x = 17,045,261,138.59/149,617
  6. Step 6: Final answer
    x = 113,925.97

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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.