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Finding the Fourth Proportional to 142,293.52, 196,377.96 and 82,666

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Solution

The fourth proportional to 142,293.52, 196,377.96 and 82,666 is: 114,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,293.52 : 196,377.96 = 82,666 : x
  2. Step 2: Convert to fraction form
    142,293.52/196,377.96 = 82,666/x
  3. Step 3: Cross multiply
    142,293.52x = 196,377.96 × 82,666
  4. Step 4: Simplify right side
    142,293.52x = 16,233,780,441.36
  5. Step 5: Solve for x
    x = 16,233,780,441.36/142,293.52
  6. Step 6: Final answer
    x = 114,086.58

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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.