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Finding the Fourth Proportional to 142,241.94, 196,299.50 and 81,812.50

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Solution

The fourth proportional to 142,241.94, 196,299.50 and 81,812.50 is: 112,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,241.94 : 196,299.50 = 81,812.50 : x
  2. Step 2: Convert to fraction form
    142,241.94/196,299.50 = 81,812.50/x
  3. Step 3: Cross multiply
    142,241.94x = 196,299.50 × 81,812.50
  4. Step 4: Simplify right side
    142,241.94x = 16,059,752,843.75
  5. Step 5: Solve for x
    x = 16,059,752,843.75/142,241.94
  6. Step 6: Final answer
    x = 112,904.48

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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.