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Finding the Fourth Proportional to 125,212.46, 187,879.44 and 55,082.66

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Solution

The fourth proportional to 125,212.46, 187,879.44 and 55,082.66 is: 82,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212.46 : 187,879.44 = 55,082.66 : x
  2. Step 2: Convert to fraction form
    125,212.46/187,879.44 = 55,082.66/x
  3. Step 3: Cross multiply
    125,212.46x = 187,879.44 × 55,082.66
  4. Step 4: Simplify right side
    125,212.46x = 10,348,899,314.51
  5. Step 5: Solve for x
    x = 10,348,899,314.51/125,212.46
  6. Step 6: Final answer
    x = 82,650.71

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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.