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Finding the Fourth Proportional to 179,241, 268,861.50 and 54,582

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Solution

The fourth proportional to 179,241, 268,861.50 and 54,582 is: 81,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,241 : 268,861.50 = 54,582 : x
  2. Step 2: Convert to fraction form
    179,241/268,861.50 = 54,582/x
  3. Step 3: Cross multiply
    179,241x = 268,861.50 × 54,582
  4. Step 4: Simplify right side
    179,241x = 14,674,998,393
  5. Step 5: Solve for x
    x = 14,674,998,393/179,241
  6. Step 6: Final answer
    x = 81,873

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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.