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Finding the Fourth Proportional to 204,043.30, 306,064.95 and 166,645.60

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Solution

The fourth proportional to 204,043.30, 306,064.95 and 166,645.60 is: 249,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,043.30 : 306,064.95 = 166,645.60 : x
  2. Step 2: Convert to fraction form
    204,043.30/306,064.95 = 166,645.60/x
  3. Step 3: Cross multiply
    204,043.30x = 306,064.95 × 166,645.60
  4. Step 4: Simplify right side
    204,043.30x = 51,004,377,231.72
  5. Step 5: Solve for x
    x = 51,004,377,231.72/204,043.30
  6. Step 6: Final answer
    x = 249,968.40

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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.