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Finding the Fourth Proportional to 188,149.80, 282,247.74 and 82,995.24

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Solution

The fourth proportional to 188,149.80, 282,247.74 and 82,995.24 is: 124,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,149.80 : 282,247.74 = 82,995.24 : x
  2. Step 2: Convert to fraction form
    188,149.80/282,247.74 = 82,995.24/x
  3. Step 3: Cross multiply
    188,149.80x = 282,247.74 × 82,995.24
  4. Step 4: Simplify right side
    188,149.80x = 23,425,218,920.76
  5. Step 5: Solve for x
    x = 23,425,218,920.76/188,149.80
  6. Step 6: Final answer
    x = 124,503.02

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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.