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Finding the Fourth Proportional to 194,943.60, 291,954.60 and 132,274.80

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Solution

The fourth proportional to 194,943.60, 291,954.60 and 132,274.80 is: 198,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,943.60 : 291,954.60 = 132,274.80 : x
  2. Step 2: Convert to fraction form
    194,943.60/291,954.60 = 132,274.80/x
  3. Step 3: Cross multiply
    194,943.60x = 291,954.60 × 132,274.80
  4. Step 4: Simplify right side
    194,943.60x = 38,618,236,324.08
  5. Step 5: Solve for x
    x = 38,618,236,324.08/194,943.60
  6. Step 6: Final answer
    x = 198,099.53

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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.