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Finding the Fourth Proportional to 204,015.80, 306,023.70 and 202,849.40

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Solution

The fourth proportional to 204,015.80, 306,023.70 and 202,849.40 is: 304,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015.80 : 306,023.70 = 202,849.40 : x
  2. Step 2: Convert to fraction form
    204,015.80/306,023.70 = 202,849.40/x
  3. Step 3: Cross multiply
    204,015.80x = 306,023.70 × 202,849.40
  4. Step 4: Simplify right side
    204,015.80x = 62,076,723,930.78
  5. Step 5: Solve for x
    x = 62,076,723,930.78/204,015.80
  6. Step 6: Final answer
    x = 304,274.10

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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.