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Finding the Fourth Proportional to 179,616, 269,434.80 and 54,958.08

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Solution

The fourth proportional to 179,616, 269,434.80 and 54,958.08 is: 82,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,616 : 269,434.80 = 54,958.08 : x
  2. Step 2: Convert to fraction form
    179,616/269,434.80 = 54,958.08/x
  3. Step 3: Cross multiply
    179,616x = 269,434.80 × 54,958.08
  4. Step 4: Simplify right side
    179,616x = 14,807,619,293.18
  5. Step 5: Solve for x
    x = 14,807,619,293.18/179,616
  6. Step 6: Final answer
    x = 82,440.42

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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.