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Finding the Fourth Proportional to 142,327.96, 213,491.66 and 133,667.44

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Solution

The fourth proportional to 142,327.96, 213,491.66 and 133,667.44 is: 200,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,327.96 : 213,491.66 = 133,667.44 : x
  2. Step 2: Convert to fraction form
    142,327.96/213,491.66 = 133,667.44/x
  3. Step 3: Cross multiply
    142,327.96x = 213,491.66 × 133,667.44
  4. Step 4: Simplify right side
    142,327.96x = 28,536,883,653.55
  5. Step 5: Solve for x
    x = 28,536,883,653.55/142,327.96
  6. Step 6: Final answer
    x = 200,500.90

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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.