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Finding the Fourth Proportional to 83,676.20, 125,514.30 and 65,013.80

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Solution

The fourth proportional to 83,676.20, 125,514.30 and 65,013.80 is: 97,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676.20 : 125,514.30 = 65,013.80 : x
  2. Step 2: Convert to fraction form
    83,676.20/125,514.30 = 65,013.80/x
  3. Step 3: Cross multiply
    83,676.20x = 125,514.30 × 65,013.80
  4. Step 4: Simplify right side
    83,676.20x = 8,160,161,597.34
  5. Step 5: Solve for x
    x = 8,160,161,597.34/83,676.20
  6. Step 6: Final answer
    x = 97,520.70

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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.