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Finding the Fourth Proportional to 264,387.84, 396,472.96 and 131,219.20

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Solution

The fourth proportional to 264,387.84, 396,472.96 and 131,219.20 is: 196,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,387.84 : 396,472.96 = 131,219.20 : x
  2. Step 2: Convert to fraction form
    264,387.84/396,472.96 = 131,219.20/x
  3. Step 3: Cross multiply
    264,387.84x = 396,472.96 × 131,219.20
  4. Step 4: Simplify right side
    264,387.84x = 52,024,864,632.83
  5. Step 5: Solve for x
    x = 52,024,864,632.83/264,387.84
  6. Step 6: Final answer
    x = 196,774.80

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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.