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Finding the Fourth Proportional to 204,064.60, 306,096.90 and 133,205.80

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Solution

The fourth proportional to 204,064.60, 306,096.90 and 133,205.80 is: 199,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,064.60 : 306,096.90 = 133,205.80 : x
  2. Step 2: Convert to fraction form
    204,064.60/306,096.90 = 133,205.80/x
  3. Step 3: Cross multiply
    204,064.60x = 306,096.90 × 133,205.80
  4. Step 4: Simplify right side
    204,064.60x = 40,773,882,442.02
  5. Step 5: Solve for x
    x = 40,773,882,442.02/204,064.60
  6. Step 6: Final answer
    x = 199,808.70

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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.