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Finding the Fourth Proportional to 142,538.59, 196,724.10 and 82,097.47

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Solution

The fourth proportional to 142,538.59, 196,724.10 and 82,097.47 is: 113,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,538.59 : 196,724.10 = 82,097.47 : x
  2. Step 2: Convert to fraction form
    142,538.59/196,724.10 = 82,097.47/x
  3. Step 3: Cross multiply
    142,538.59x = 196,724.10 × 82,097.47
  4. Step 4: Simplify right side
    142,538.59x = 16,150,550,898.03
  5. Step 5: Solve for x
    x = 16,150,550,898.03/142,538.59
  6. Step 6: Final answer
    x = 113,306.52

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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.