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Finding the Fourth Proportional to 253,580.82, 380,408.33 and 76,101.86

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Solution

The fourth proportional to 253,580.82, 380,408.33 and 76,101.86 is: 114,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,580.82 : 380,408.33 = 76,101.86 : x
  2. Step 2: Convert to fraction form
    253,580.82/380,408.33 = 76,101.86/x
  3. Step 3: Cross multiply
    253,580.82x = 380,408.33 × 76,101.86
  4. Step 4: Simplify right side
    253,580.82x = 28,949,781,472.49
  5. Step 5: Solve for x
    x = 28,949,781,472.49/253,580.82
  6. Step 6: Final answer
    x = 114,163.92

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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.