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Finding the Fourth Proportional to 194,571.57, 291,969.90 and 82,244.52

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Solution

The fourth proportional to 194,571.57, 291,969.90 and 82,244.52 is: 123,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,571.57 : 291,969.90 = 82,244.52 : x
  2. Step 2: Convert to fraction form
    194,571.57/291,969.90 = 82,244.52/x
  3. Step 3: Cross multiply
    194,571.57x = 291,969.90 × 82,244.52
  4. Step 4: Simplify right side
    194,571.57x = 24,012,924,279.95
  5. Step 5: Solve for x
    x = 24,012,924,279.95/194,571.57
  6. Step 6: Final answer
    x = 123,414.35

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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.