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Finding the Fourth Proportional to 234,269.70, 323,160.20 and 148,201.98

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Solution

The fourth proportional to 234,269.70, 323,160.20 and 148,201.98 is: 204,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,269.70 : 323,160.20 = 148,201.98 : x
  2. Step 2: Convert to fraction form
    234,269.70/323,160.20 = 148,201.98/x
  3. Step 3: Cross multiply
    234,269.70x = 323,160.20 × 148,201.98
  4. Step 4: Simplify right side
    234,269.70x = 47,892,981,497.20
  5. Step 5: Solve for x
    x = 47,892,981,497.20/234,269.70
  6. Step 6: Final answer
    x = 204,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.