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Finding the Fourth Proportional to 129,654.25, 194,514.20 and 36,160

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Solution

The fourth proportional to 129,654.25, 194,514.20 and 36,160 is: 54,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654.25 : 194,514.20 = 36,160 : x
  2. Step 2: Convert to fraction form
    129,654.25/194,514.20 = 36,160/x
  3. Step 3: Cross multiply
    129,654.25x = 194,514.20 × 36,160
  4. Step 4: Simplify right side
    129,654.25x = 7,033,633,291.20
  5. Step 5: Solve for x
    x = 7,033,633,291.20/129,654.25
  6. Step 6: Final answer
    x = 54,249.15

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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.