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Finding the Fourth Proportional to 68,285.20, 102,331.80 and 54,269.20

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Solution

The fourth proportional to 68,285.20, 102,331.80 and 54,269.20 is: 81,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,285.20 : 102,331.80 = 54,269.20 : x
  2. Step 2: Convert to fraction form
    68,285.20/102,331.80 = 54,269.20/x
  3. Step 3: Cross multiply
    68,285.20x = 102,331.80 × 54,269.20
  4. Step 4: Simplify right side
    68,285.20x = 5,553,464,920.56
  5. Step 5: Solve for x
    x = 5,553,464,920.56/68,285.20
  6. Step 6: Final answer
    x = 81,327.50

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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.