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Finding the Fourth Proportional to 142,231.60, 213,350.64 and 48,736

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Solution

The fourth proportional to 142,231.60, 213,350.64 and 48,736 is: 73,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,231.60 : 213,350.64 = 48,736 : x
  2. Step 2: Convert to fraction form
    142,231.60/213,350.64 = 48,736/x
  3. Step 3: Cross multiply
    142,231.60x = 213,350.64 × 48,736
  4. Step 4: Simplify right side
    142,231.60x = 10,397,856,791.04
  5. Step 5: Solve for x
    x = 10,397,856,791.04/142,231.60
  6. Step 6: Final answer
    x = 73,105.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.