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Finding the Fourth Proportional to 204,464.20, 306,040.20 and 159,849.40

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Solution

The fourth proportional to 204,464.20, 306,040.20 and 159,849.40 is: 239,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,464.20 : 306,040.20 = 159,849.40 : x
  2. Step 2: Convert to fraction form
    204,464.20/306,040.20 = 159,849.40/x
  3. Step 3: Cross multiply
    204,464.20x = 306,040.20 × 159,849.40
  4. Step 4: Simplify right side
    204,464.20x = 48,920,342,345.88
  5. Step 5: Solve for x
    x = 48,920,342,345.88/204,464.20
  6. Step 6: Final answer
    x = 239,261.16

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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.