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Finding the Fourth Proportional to 194,794.60, 292,221.10 and 82,474.60

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Solution

The fourth proportional to 194,794.60, 292,221.10 and 82,474.60 is: 123,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.60 : 292,221.10 = 82,474.60 : x
  2. Step 2: Convert to fraction form
    194,794.60/292,221.10 = 82,474.60/x
  3. Step 3: Cross multiply
    194,794.60x = 292,221.10 × 82,474.60
  4. Step 4: Simplify right side
    194,794.60x = 24,100,818,334.06
  5. Step 5: Solve for x
    x = 24,100,818,334.06/194,794.60
  6. Step 6: Final answer
    x = 123,724.26

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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.