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Finding the Fourth Proportional to 142,433.69, 196,577.10 and 82,006.88

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Solution

The fourth proportional to 142,433.69, 196,577.10 and 82,006.88 is: 113,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,433.69 : 196,577.10 = 82,006.88 : x
  2. Step 2: Convert to fraction form
    142,433.69/196,577.10 = 82,006.88/x
  3. Step 3: Cross multiply
    142,433.69x = 196,577.10 × 82,006.88
  4. Step 4: Simplify right side
    142,433.69x = 16,120,673,667.56
  5. Step 5: Solve for x
    x = 16,120,673,667.56/142,433.69
  6. Step 6: Final answer
    x = 113,180.21

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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.