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Finding the Fourth Proportional to 280,206.96, 419,873.04 and 161,934

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Solution

The fourth proportional to 280,206.96, 419,873.04 and 161,934 is: 242,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,206.96 : 419,873.04 = 161,934 : x
  2. Step 2: Convert to fraction form
    280,206.96/419,873.04 = 161,934/x
  3. Step 3: Cross multiply
    280,206.96x = 419,873.04 × 161,934
  4. Step 4: Simplify right side
    280,206.96x = 67,991,720,859.36
  5. Step 5: Solve for x
    x = 67,991,720,859.36/280,206.96
  6. Step 6: Final answer
    x = 242,648.22

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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.