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Finding the Fourth Proportional to 142,120.98, 196,141.40 and 81,694.17

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Solution

The fourth proportional to 142,120.98, 196,141.40 and 81,694.17 is: 112,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,120.98 : 196,141.40 = 81,694.17 : x
  2. Step 2: Convert to fraction form
    142,120.98/196,141.40 = 81,694.17/x
  3. Step 3: Cross multiply
    142,120.98x = 196,141.40 × 81,694.17
  4. Step 4: Simplify right side
    142,120.98x = 16,023,608,773.52
  5. Step 5: Solve for x
    x = 16,023,608,773.52/142,120.98
  6. Step 6: Final answer
    x = 112,746.26

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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.