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Finding the Fourth Proportional to 194,334.84, 291,546.90 and 100,819.80

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Solution

The fourth proportional to 194,334.84, 291,546.90 and 100,819.80 is: 151,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,334.84 : 291,546.90 = 100,819.80 : x
  2. Step 2: Convert to fraction form
    194,334.84/291,546.90 = 100,819.80/x
  3. Step 3: Cross multiply
    194,334.84x = 291,546.90 × 100,819.80
  4. Step 4: Simplify right side
    194,334.84x = 29,393,700,148.62
  5. Step 5: Solve for x
    x = 29,393,700,148.62/194,334.84
  6. Step 6: Final answer
    x = 151,252.86

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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.