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Finding the Fourth Proportional to 259,737.90, 389,898.45 and 200,834.70

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Solution

The fourth proportional to 259,737.90, 389,898.45 and 200,834.70 is: 301,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737.90 : 389,898.45 = 200,834.70 : x
  2. Step 2: Convert to fraction form
    259,737.90/389,898.45 = 200,834.70/x
  3. Step 3: Cross multiply
    259,737.90x = 389,898.45 × 200,834.70
  4. Step 4: Simplify right side
    259,737.90x = 78,305,138,236.22
  5. Step 5: Solve for x
    x = 78,305,138,236.22/259,737.90
  6. Step 6: Final answer
    x = 301,477.52

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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.