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Finding the Fourth Proportional to 194,310.40, 291,465.60 and 111,212.80

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Solution

The fourth proportional to 194,310.40, 291,465.60 and 111,212.80 is: 166,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,310.40 : 291,465.60 = 111,212.80 : x
  2. Step 2: Convert to fraction form
    194,310.40/291,465.60 = 111,212.80/x
  3. Step 3: Cross multiply
    194,310.40x = 291,465.60 × 111,212.80
  4. Step 4: Simplify right side
    194,310.40x = 32,414,705,479.68
  5. Step 5: Solve for x
    x = 32,414,705,479.68/194,310.40
  6. Step 6: Final answer
    x = 166,819.20

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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.