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Finding the Fourth Proportional to 231,315.84, 346,610.88 and 137,770.56

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Solution

The fourth proportional to 231,315.84, 346,610.88 and 137,770.56 is: 206,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,315.84 : 346,610.88 = 137,770.56 : x
  2. Step 2: Convert to fraction form
    231,315.84/346,610.88 = 137,770.56/x
  3. Step 3: Cross multiply
    231,315.84x = 346,610.88 × 137,770.56
  4. Step 4: Simplify right side
    231,315.84x = 47,752,775,039.69
  5. Step 5: Solve for x
    x = 47,752,775,039.69/231,315.84
  6. Step 6: Final answer
    x = 206,439.71

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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.