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Finding the Fourth Proportional to 194,132.34, 291,198.42 and 53,890.92

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Solution

The fourth proportional to 194,132.34, 291,198.42 and 53,890.92 is: 80,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,132.34 : 291,198.42 = 53,890.92 : x
  2. Step 2: Convert to fraction form
    194,132.34/291,198.42 = 53,890.92/x
  3. Step 3: Cross multiply
    194,132.34x = 291,198.42 × 53,890.92
  4. Step 4: Simplify right side
    194,132.34x = 15,692,950,756.35
  5. Step 5: Solve for x
    x = 15,692,950,756.35/194,132.34
  6. Step 6: Final answer
    x = 80,836.36

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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.