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Finding the Fourth Proportional to 264,722.40, 396,937.80 and 106,772.40

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Solution

The fourth proportional to 264,722.40, 396,937.80 and 106,772.40 is: 160,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,722.40 : 396,937.80 = 106,772.40 : x
  2. Step 2: Convert to fraction form
    264,722.40/396,937.80 = 106,772.40/x
  3. Step 3: Cross multiply
    264,722.40x = 396,937.80 × 106,772.40
  4. Step 4: Simplify right side
    264,722.40x = 42,382,001,556.72
  5. Step 5: Solve for x
    x = 42,382,001,556.72/264,722.40
  6. Step 6: Final answer
    x = 160,099.79

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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.