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Finding the Fourth Proportional to 264,213.20, 396,319.80 and 86,747.60

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Solution

The fourth proportional to 264,213.20, 396,319.80 and 86,747.60 is: 130,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,213.20 : 396,319.80 = 86,747.60 : x
  2. Step 2: Convert to fraction form
    264,213.20/396,319.80 = 86,747.60/x
  3. Step 3: Cross multiply
    264,213.20x = 396,319.80 × 86,747.60
  4. Step 4: Simplify right side
    264,213.20x = 34,379,791,482.48
  5. Step 5: Solve for x
    x = 34,379,791,482.48/264,213.20
  6. Step 6: Final answer
    x = 130,121.40

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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.