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Finding the Fourth Proportional to 194,679, 292,050.09 and 76,286.16

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Solution

The fourth proportional to 194,679, 292,050.09 and 76,286.16 is: 114,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,679 : 292,050.09 = 76,286.16 : x
  2. Step 2: Convert to fraction form
    194,679/292,050.09 = 76,286.16/x
  3. Step 3: Cross multiply
    194,679x = 292,050.09 × 76,286.16
  4. Step 4: Simplify right side
    194,679x = 22,279,379,893.75
  5. Step 5: Solve for x
    x = 22,279,379,893.75/194,679
  6. Step 6: Final answer
    x = 114,441.62

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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.