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Finding the Fourth Proportional to 264,079.98, 396,115.92 and 106,304.40

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Solution

The fourth proportional to 264,079.98, 396,115.92 and 106,304.40 is: 159,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,079.98 : 396,115.92 = 106,304.40 : x
  2. Step 2: Convert to fraction form
    264,079.98/396,115.92 = 106,304.40/x
  3. Step 3: Cross multiply
    264,079.98x = 396,115.92 × 106,304.40
  4. Step 4: Simplify right side
    264,079.98x = 42,108,865,206.05
  5. Step 5: Solve for x
    x = 42,108,865,206.05/264,079.98
  6. Step 6: Final answer
    x = 159,454.97

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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.