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Finding the Fourth Proportional to 179,853.80, 269,824.14 and 67,535.24

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Solution

The fourth proportional to 179,853.80, 269,824.14 and 67,535.24 is: 101,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,853.80 : 269,824.14 = 67,535.24 : x
  2. Step 2: Convert to fraction form
    179,853.80/269,824.14 = 67,535.24/x
  3. Step 3: Cross multiply
    179,853.80x = 269,824.14 × 67,535.24
  4. Step 4: Simplify right side
    179,853.80x = 18,222,638,052.69
  5. Step 5: Solve for x
    x = 18,222,638,052.69/179,853.80
  6. Step 6: Final answer
    x = 101,319.17

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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.