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Finding the Fourth Proportional to 281,836, 389,137.80 and 181,408.96

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Solution

The fourth proportional to 281,836, 389,137.80 and 181,408.96 is: 250,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,836 : 389,137.80 = 181,408.96 : x
  2. Step 2: Convert to fraction form
    281,836/389,137.80 = 181,408.96/x
  3. Step 3: Cross multiply
    281,836x = 389,137.80 × 181,408.96
  4. Step 4: Simplify right side
    281,836x = 70,593,083,594.69
  5. Step 5: Solve for x
    x = 70,593,083,594.69/281,836
  6. Step 6: Final answer
    x = 250,475.75

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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.