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Finding the Fourth Proportional to 231,774.84, 347,716.47 and 71,842.38

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Solution

The fourth proportional to 231,774.84, 347,716.47 and 71,842.38 is: 107,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774.84 : 347,716.47 = 71,842.38 : x
  2. Step 2: Convert to fraction form
    231,774.84/347,716.47 = 71,842.38/x
  3. Step 3: Cross multiply
    231,774.84x = 347,716.47 × 71,842.38
  4. Step 4: Simplify right side
    231,774.84x = 24,980,778,770.00
  5. Step 5: Solve for x
    x = 24,980,778,770.00/231,774.84
  6. Step 6: Final answer
    x = 107,780.37

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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.