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Finding the Fourth Proportional to 142,102.17, 196,073.73 and 85,517.19

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Solution

The fourth proportional to 142,102.17, 196,073.73 and 85,517.19 is: 117,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.17 : 196,073.73 = 85,517.19 : x
  2. Step 2: Convert to fraction form
    142,102.17/196,073.73 = 85,517.19/x
  3. Step 3: Cross multiply
    142,102.17x = 196,073.73 × 85,517.19
  4. Step 4: Simplify right side
    142,102.17x = 16,767,674,422.42
  5. Step 5: Solve for x
    x = 16,767,674,422.42/142,102.17
  6. Step 6: Final answer
    x = 117,997.31

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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.