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Finding the Fourth Proportional to 204,419.60, 306,629.40 and 133,560.80

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Solution

The fourth proportional to 204,419.60, 306,629.40 and 133,560.80 is: 200,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,419.60 : 306,629.40 = 133,560.80 : x
  2. Step 2: Convert to fraction form
    204,419.60/306,629.40 = 133,560.80/x
  3. Step 3: Cross multiply
    204,419.60x = 306,629.40 × 133,560.80
  4. Step 4: Simplify right side
    204,419.60x = 40,953,667,967.52
  5. Step 5: Solve for x
    x = 40,953,667,967.52/204,419.60
  6. Step 6: Final answer
    x = 200,341.20

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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.