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Finding the Fourth Proportional to 86,819.91, 129,874.60 and 65,602.23

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Solution

The fourth proportional to 86,819.91, 129,874.60 and 65,602.23 is: 98,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819.91 : 129,874.60 = 65,602.23 : x
  2. Step 2: Convert to fraction form
    86,819.91/129,874.60 = 65,602.23/x
  3. Step 3: Cross multiply
    86,819.91x = 129,874.60 × 65,602.23
  4. Step 4: Simplify right side
    86,819.91x = 8,520,063,380.36
  5. Step 5: Solve for x
    x = 8,520,063,380.36/86,819.91
  6. Step 6: Final answer
    x = 98,134.90

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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.