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Finding the Fourth Proportional to 141,221.76, 194,885.26 and 76,690.44

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Solution

The fourth proportional to 141,221.76, 194,885.26 and 76,690.44 is: 105,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,221.76 : 194,885.26 = 76,690.44 : x
  2. Step 2: Convert to fraction form
    141,221.76/194,885.26 = 76,690.44/x
  3. Step 3: Cross multiply
    141,221.76x = 194,885.26 × 76,690.44
  4. Step 4: Simplify right side
    141,221.76x = 14,945,836,338.91
  5. Step 5: Solve for x
    x = 14,945,836,338.91/141,221.76
  6. Step 6: Final answer
    x = 105,832.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.