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Finding the Fourth Proportional to 231,774.33, 347,715.42 and 71,841.78

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Solution

The fourth proportional to 231,774.33, 347,715.42 and 71,841.78 is: 107,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774.33 : 347,715.42 = 71,841.78 : x
  2. Step 2: Convert to fraction form
    231,774.33/347,715.42 = 71,841.78/x
  3. Step 3: Cross multiply
    231,774.33x = 347,715.42 × 71,841.78
  4. Step 4: Simplify right side
    231,774.33x = 24,980,494,706.25
  5. Step 5: Solve for x
    x = 24,980,494,706.25/231,774.33
  6. Step 6: Final answer
    x = 107,779.38

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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.