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Finding the Fourth Proportional to 253,027.72, 379,607.46 and 75,534.82

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Solution

The fourth proportional to 253,027.72, 379,607.46 and 75,534.82 is: 113,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,027.72 : 379,607.46 = 75,534.82 : x
  2. Step 2: Convert to fraction form
    253,027.72/379,607.46 = 75,534.82/x
  3. Step 3: Cross multiply
    253,027.72x = 379,607.46 × 75,534.82
  4. Step 4: Simplify right side
    253,027.72x = 28,673,581,161.76
  5. Step 5: Solve for x
    x = 28,673,581,161.76/253,027.72
  6. Step 6: Final answer
    x = 113,321.90

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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.