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Finding the Fourth Proportional to 231,212.48, 346,813.85 and 106,553.48

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Solution

The fourth proportional to 231,212.48, 346,813.85 and 106,553.48 is: 159,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,212.48 : 346,813.85 = 106,553.48 : x
  2. Step 2: Convert to fraction form
    231,212.48/346,813.85 = 106,553.48/x
  3. Step 3: Cross multiply
    231,212.48x = 346,813.85 × 106,553.48
  4. Step 4: Simplify right side
    231,212.48x = 36,954,221,162.01
  5. Step 5: Solve for x
    x = 36,954,221,162.01/231,212.48
  6. Step 6: Final answer
    x = 159,827.97

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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.