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Finding the Fourth Proportional to 264,747.60, 397,121.40 and 159,512.40

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Solution

The fourth proportional to 264,747.60, 397,121.40 and 159,512.40 is: 239,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,747.60 : 397,121.40 = 159,512.40 : x
  2. Step 2: Convert to fraction form
    264,747.60/397,121.40 = 159,512.40/x
  3. Step 3: Cross multiply
    264,747.60x = 397,121.40 × 159,512.40
  4. Step 4: Simplify right side
    264,747.60x = 63,345,787,605.36
  5. Step 5: Solve for x
    x = 63,345,787,605.36/264,747.60
  6. Step 6: Final answer
    x = 239,268.60

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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.