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Finding the Fourth Proportional to 208,834.40, 312,560.40 and 161,832.80

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Solution

The fourth proportional to 208,834.40, 312,560.40 and 161,832.80 is: 242,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.40 : 312,560.40 = 161,832.80 : x
  2. Step 2: Convert to fraction form
    208,834.40/312,560.40 = 161,832.80/x
  3. Step 3: Cross multiply
    208,834.40x = 312,560.40 × 161,832.80
  4. Step 4: Simplify right side
    208,834.40x = 50,582,524,701.12
  5. Step 5: Solve for x
    x = 50,582,524,701.12/208,834.40
  6. Step 6: Final answer
    x = 242,213.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.