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Finding the Fourth Proportional to 280,426.38, 419,968.99 and 161,737.89

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Solution

The fourth proportional to 280,426.38, 419,968.99 and 161,737.89 is: 242,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426.38 : 419,968.99 = 161,737.89 : x
  2. Step 2: Convert to fraction form
    280,426.38/419,968.99 = 161,737.89/x
  3. Step 3: Cross multiply
    280,426.38x = 419,968.99 × 161,737.89
  4. Step 4: Simplify right side
    280,426.38x = 67,924,898,308.03
  5. Step 5: Solve for x
    x = 67,924,898,308.03/280,426.38
  6. Step 6: Final answer
    x = 242,220.07

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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.