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Finding the Fourth Proportional to 147,863.36, 204,027.84 and 84,202.40

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Solution

The fourth proportional to 147,863.36, 204,027.84 and 84,202.40 is: 116,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,863.36 : 204,027.84 = 84,202.40 : x
  2. Step 2: Convert to fraction form
    147,863.36/204,027.84 = 84,202.40/x
  3. Step 3: Cross multiply
    147,863.36x = 204,027.84 × 84,202.40
  4. Step 4: Simplify right side
    147,863.36x = 17,179,633,794.82
  5. Step 5: Solve for x
    x = 17,179,633,794.82/147,863.36
  6. Step 6: Final answer
    x = 116,185.87

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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.