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Finding the Fourth Proportional to 147,680.40, 203,796.32 and 84,016.82

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Solution

The fourth proportional to 147,680.40, 203,796.32 and 84,016.82 is: 115,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,680.40 : 203,796.32 = 84,016.82 : x
  2. Step 2: Convert to fraction form
    147,680.40/203,796.32 = 84,016.82/x
  3. Step 3: Cross multiply
    147,680.40x = 203,796.32 × 84,016.82
  4. Step 4: Simplify right side
    147,680.40x = 17,122,318,734.10
  5. Step 5: Solve for x
    x = 17,122,318,734.10/147,680.40
  6. Step 6: Final answer
    x = 115,941.71

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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.