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Finding the Fourth Proportional to 149,677.66, 206,553.27 and 82,605.34

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Solution

The fourth proportional to 149,677.66, 206,553.27 and 82,605.34 is: 113,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,677.66 : 206,553.27 = 82,605.34 : x
  2. Step 2: Convert to fraction form
    149,677.66/206,553.27 = 82,605.34/x
  3. Step 3: Cross multiply
    149,677.66x = 206,553.27 × 82,605.34
  4. Step 4: Simplify right side
    149,677.66x = 17,062,403,096.46
  5. Step 5: Solve for x
    x = 17,062,403,096.46/149,677.66
  6. Step 6: Final answer
    x = 113,994.32

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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.