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Finding the Fourth Proportional to 125,706.66, 188,519.94 and 41,451.12

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Solution

The fourth proportional to 125,706.66, 188,519.94 and 41,451.12 is: 62,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,706.66 : 188,519.94 = 41,451.12 : x
  2. Step 2: Convert to fraction form
    125,706.66/188,519.94 = 41,451.12/x
  3. Step 3: Cross multiply
    125,706.66x = 188,519.94 × 41,451.12
  4. Step 4: Simplify right side
    125,706.66x = 7,814,362,655.33
  5. Step 5: Solve for x
    x = 7,814,362,655.33/125,706.66
  6. Step 6: Final answer
    x = 62,163.47

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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.