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Finding the Fourth Proportional to 116,692.20, 174,836.70 and 54,234.60

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Solution

The fourth proportional to 116,692.20, 174,836.70 and 54,234.60 is: 81,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,692.20 : 174,836.70 = 54,234.60 : x
  2. Step 2: Convert to fraction form
    116,692.20/174,836.70 = 54,234.60/x
  3. Step 3: Cross multiply
    116,692.20x = 174,836.70 × 54,234.60
  4. Step 4: Simplify right side
    116,692.20x = 9,482,198,489.82
  5. Step 5: Solve for x
    x = 9,482,198,489.82/116,692.20
  6. Step 6: Final answer
    x = 81,258.20

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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.