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Finding the Fourth Proportional to 142,576.52, 196,751.68 and 81,321.32

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Solution

The fourth proportional to 142,576.52, 196,751.68 and 81,321.32 is: 112,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576.52 : 196,751.68 = 81,321.32 : x
  2. Step 2: Convert to fraction form
    142,576.52/196,751.68 = 81,321.32/x
  3. Step 3: Cross multiply
    142,576.52x = 196,751.68 × 81,321.32
  4. Step 4: Simplify right side
    142,576.52x = 16,000,105,142.76
  5. Step 5: Solve for x
    x = 16,000,105,142.76/142,576.52
  6. Step 6: Final answer
    x = 112,221.18

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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.