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Finding the Fourth Proportional to 125,198.24, 187,794.12 and 42,092.24

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Solution

The fourth proportional to 125,198.24, 187,794.12 and 42,092.24 is: 63,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,198.24 : 187,794.12 = 42,092.24 : x
  2. Step 2: Convert to fraction form
    125,198.24/187,794.12 = 42,092.24/x
  3. Step 3: Cross multiply
    125,198.24x = 187,794.12 × 42,092.24
  4. Step 4: Simplify right side
    125,198.24x = 7,904,675,169.63
  5. Step 5: Solve for x
    x = 7,904,675,169.63/125,198.24
  6. Step 6: Final answer
    x = 63,137.27

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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.