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Finding the Fourth Proportional to 125,906.28, 188,859.46 and 41,643.84

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Solution

The fourth proportional to 125,906.28, 188,859.46 and 41,643.84 is: 62,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906.28 : 188,859.46 = 41,643.84 : x
  2. Step 2: Convert to fraction form
    125,906.28/188,859.46 = 41,643.84/x
  3. Step 3: Cross multiply
    125,906.28x = 188,859.46 × 41,643.84
  4. Step 4: Simplify right side
    125,906.28x = 7,864,833,134.73
  5. Step 5: Solve for x
    x = 7,864,833,134.73/125,906.28
  6. Step 6: Final answer
    x = 62,465.77

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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.