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Finding the Fourth Proportional to 231,774.88, 347,716.55 and 71,842.44

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Solution

The fourth proportional to 231,774.88, 347,716.55 and 71,842.44 is: 107,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774.88 : 347,716.55 = 71,842.44 : x
  2. Step 2: Convert to fraction form
    231,774.88/347,716.55 = 71,842.44/x
  3. Step 3: Cross multiply
    231,774.88x = 347,716.55 × 71,842.44
  4. Step 4: Simplify right side
    231,774.88x = 24,980,805,380.38
  5. Step 5: Solve for x
    x = 24,980,805,380.38/231,774.88
  6. Step 6: Final answer
    x = 107,780.47

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1.5x scale

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.