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Finding the Fourth Proportional to 129,354.76, 194,002.98 and 35,867.80

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Solution

The fourth proportional to 129,354.76, 194,002.98 and 35,867.80 is: 53,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,354.76 : 194,002.98 = 35,867.80 : x
  2. Step 2: Convert to fraction form
    129,354.76/194,002.98 = 35,867.80/x
  3. Step 3: Cross multiply
    129,354.76x = 194,002.98 × 35,867.80
  4. Step 4: Simplify right side
    129,354.76x = 6,958,460,086.04
  5. Step 5: Solve for x
    x = 6,958,460,086.04/129,354.76
  6. Step 6: Final answer
    x = 53,793.61

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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.