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Finding the Fourth Proportional to 275,586.48, 413,379.45 and 75,907.98

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Solution

The fourth proportional to 275,586.48, 413,379.45 and 75,907.98 is: 113,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,586.48 : 413,379.45 = 75,907.98 : x
  2. Step 2: Convert to fraction form
    275,586.48/413,379.45 = 75,907.98/x
  3. Step 3: Cross multiply
    275,586.48x = 413,379.45 × 75,907.98
  4. Step 4: Simplify right side
    275,586.48x = 31,378,799,023.01
  5. Step 5: Solve for x
    x = 31,378,799,023.01/275,586.48
  6. Step 6: Final answer
    x = 113,861.90

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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.