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Finding the Fourth Proportional to 179,309.84, 268,964.58 and 54,650.84

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Solution

The fourth proportional to 179,309.84, 268,964.58 and 54,650.84 is: 81,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,309.84 : 268,964.58 = 54,650.84 : x
  2. Step 2: Convert to fraction form
    179,309.84/268,964.58 = 54,650.84/x
  3. Step 3: Cross multiply
    179,309.84x = 268,964.58 × 54,650.84
  4. Step 4: Simplify right side
    179,309.84x = 14,699,140,227.25
  5. Step 5: Solve for x
    x = 14,699,140,227.25/179,309.84
  6. Step 6: Final answer
    x = 81,976.21

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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.