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Finding the Fourth Proportional to 142,447.17, 196,583.04 and 82,016.31

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Solution

The fourth proportional to 142,447.17, 196,583.04 and 82,016.31 is: 113,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,447.17 : 196,583.04 = 82,016.31 : x
  2. Step 2: Convert to fraction form
    142,447.17/196,583.04 = 82,016.31/x
  3. Step 3: Cross multiply
    142,447.17x = 196,583.04 × 82,016.31
  4. Step 4: Simplify right side
    142,447.17x = 16,123,015,549.38
  5. Step 5: Solve for x
    x = 16,123,015,549.38/142,447.17
  6. Step 6: Final answer
    x = 113,185.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.