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Finding the Fourth Proportional to 175,924.80, 263,584.80 and 82,238.40

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Solution

The fourth proportional to 175,924.80, 263,584.80 and 82,238.40 is: 123,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924.80 : 263,584.80 = 82,238.40 : x
  2. Step 2: Convert to fraction form
    175,924.80/263,584.80 = 82,238.40/x
  3. Step 3: Cross multiply
    175,924.80x = 263,584.80 × 82,238.40
  4. Step 4: Simplify right side
    175,924.80x = 21,676,792,216.32
  5. Step 5: Solve for x
    x = 21,676,792,216.32/175,924.80
  6. Step 6: Final answer
    x = 123,216.24

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1.5x scale

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.