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Finding the Fourth Proportional to 231,212.98, 346,814.60 and 106,553.98

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Solution

The fourth proportional to 231,212.98, 346,814.60 and 106,553.98 is: 159,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,212.98 : 346,814.60 = 106,553.98 : x
  2. Step 2: Convert to fraction form
    231,212.98/346,814.60 = 106,553.98/x
  3. Step 3: Cross multiply
    231,212.98x = 346,814.60 × 106,553.98
  4. Step 4: Simplify right side
    231,212.98x = 36,954,474,218.04
  5. Step 5: Solve for x
    x = 36,954,474,218.04/231,212.98
  6. Step 6: Final answer
    x = 159,828.72

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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.