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Finding the Fourth Proportional to 120,712.76, 181,028.13 and 41,808.54

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Solution

The fourth proportional to 120,712.76, 181,028.13 and 41,808.54 is: 62,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,712.76 : 181,028.13 = 41,808.54 : x
  2. Step 2: Convert to fraction form
    120,712.76/181,028.13 = 41,808.54/x
  3. Step 3: Cross multiply
    120,712.76x = 181,028.13 × 41,808.54
  4. Step 4: Simplify right side
    120,712.76x = 7,568,521,814.23
  5. Step 5: Solve for x
    x = 7,568,521,814.23/120,712.76
  6. Step 6: Final answer
    x = 62,698.61

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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.