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Finding the Fourth Proportional to 208,876.59, 288,249.84 and 113,383.26

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Solution

The fourth proportional to 208,876.59, 288,249.84 and 113,383.26 is: 156,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,876.59 : 288,249.84 = 113,383.26 : x
  2. Step 2: Convert to fraction form
    208,876.59/288,249.84 = 113,383.26/x
  3. Step 3: Cross multiply
    208,876.59x = 288,249.84 × 113,383.26
  4. Step 4: Simplify right side
    208,876.59x = 32,682,706,553.68
  5. Step 5: Solve for x
    x = 32,682,706,553.68/208,876.59
  6. Step 6: Final answer
    x = 156,468.98

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1.5x scale

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.