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Finding the Fourth Proportional to 194,918, 268,993.36 and 119,451.92

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Solution

The fourth proportional to 194,918, 268,993.36 and 119,451.92 is: 164,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,918 : 268,993.36 = 119,451.92 : x
  2. Step 2: Convert to fraction form
    194,918/268,993.36 = 119,451.92/x
  3. Step 3: Cross multiply
    194,918x = 268,993.36 × 119,451.92
  4. Step 4: Simplify right side
    194,918x = 32,131,773,319.25
  5. Step 5: Solve for x
    x = 32,131,773,319.25/194,918
  6. Step 6: Final answer
    x = 164,847.65

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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.