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Finding the Fourth Proportional to 142,195.68, 196,221.96 and 81,756.72

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Solution

The fourth proportional to 142,195.68, 196,221.96 and 81,756.72 is: 112,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,195.68 : 196,221.96 = 81,756.72 : x
  2. Step 2: Convert to fraction form
    142,195.68/196,221.96 = 81,756.72/x
  3. Step 3: Cross multiply
    142,195.68x = 196,221.96 × 81,756.72
  4. Step 4: Simplify right side
    142,195.68x = 16,042,463,841.57
  5. Step 5: Solve for x
    x = 16,042,463,841.57/142,195.68
  6. Step 6: Final answer
    x = 112,819.63

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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.