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Finding the Fourth Proportional to 225,773.34, 338,863.05 and 120,682.14

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Solution

The fourth proportional to 225,773.34, 338,863.05 and 120,682.14 is: 181,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,773.34 : 338,863.05 = 120,682.14 : x
  2. Step 2: Convert to fraction form
    225,773.34/338,863.05 = 120,682.14/x
  3. Step 3: Cross multiply
    225,773.34x = 338,863.05 × 120,682.14
  4. Step 4: Simplify right side
    225,773.34x = 40,894,718,040.93
  5. Step 5: Solve for x
    x = 40,894,718,040.93/225,773.34
  6. Step 6: Final answer
    x = 181,131.74

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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.