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Finding the Fourth Proportional to 129,878.60, 194,769.30 and 45,606.20

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Solution

The fourth proportional to 129,878.60, 194,769.30 and 45,606.20 is: 68,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878.60 : 194,769.30 = 45,606.20 : x
  2. Step 2: Convert to fraction form
    129,878.60/194,769.30 = 45,606.20/x
  3. Step 3: Cross multiply
    129,878.60x = 194,769.30 × 45,606.20
  4. Step 4: Simplify right side
    129,878.60x = 8,882,687,649.66
  5. Step 5: Solve for x
    x = 8,882,687,649.66/129,878.60
  6. Step 6: Final answer
    x = 68,392.23

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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.