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Finding the Fourth Proportional to 182,408.67, 251,726.45 and 100,742.42

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Solution

The fourth proportional to 182,408.67, 251,726.45 and 100,742.42 is: 139,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,408.67 : 251,726.45 = 100,742.42 : x
  2. Step 2: Convert to fraction form
    182,408.67/251,726.45 = 100,742.42/x
  3. Step 3: Cross multiply
    182,408.67x = 251,726.45 × 100,742.42
  4. Step 4: Simplify right side
    182,408.67x = 25,359,531,751.01
  5. Step 5: Solve for x
    x = 25,359,531,751.01/182,408.67
  6. Step 6: Final answer
    x = 139,025.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.