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Finding the Fourth Proportional to 97,676.10, 146,514.15 and 76,680.90

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Solution

The fourth proportional to 97,676.10, 146,514.15 and 76,680.90 is: 115,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.10 : 146,514.15 = 76,680.90 : x
  2. Step 2: Convert to fraction form
    97,676.10/146,514.15 = 76,680.90/x
  3. Step 3: Cross multiply
    97,676.10x = 146,514.15 × 76,680.90
  4. Step 4: Simplify right side
    97,676.10x = 11,234,836,884.74
  5. Step 5: Solve for x
    x = 11,234,836,884.74/97,676.10
  6. Step 6: Final answer
    x = 115,021.35

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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.