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Finding the Fourth Proportional to 130,476.30, 195,745.11 and 40,514.41

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Solution

The fourth proportional to 130,476.30, 195,745.11 and 40,514.41 is: 60,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,476.30 : 195,745.11 = 40,514.41 : x
  2. Step 2: Convert to fraction form
    130,476.30/195,745.11 = 40,514.41/x
  3. Step 3: Cross multiply
    130,476.30x = 195,745.11 × 40,514.41
  4. Step 4: Simplify right side
    130,476.30x = 7,930,497,734.79
  5. Step 5: Solve for x
    x = 7,930,497,734.79/130,476.30
  6. Step 6: Final answer
    x = 60,781.14

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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.