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Finding the Fourth Proportional to 130,689, 196,034.46 and 32,193

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Solution

The fourth proportional to 130,689, 196,034.46 and 32,193 is: 48,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689 : 196,034.46 = 32,193 : x
  2. Step 2: Convert to fraction form
    130,689/196,034.46 = 32,193/x
  3. Step 3: Cross multiply
    130,689x = 196,034.46 × 32,193
  4. Step 4: Simplify right side
    130,689x = 6,310,937,370.78
  5. Step 5: Solve for x
    x = 6,310,937,370.78/130,689
  6. Step 6: Final answer
    x = 48,289.74

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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.