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Finding the Fourth Proportional to 125,496.65, 188,281.83 and 50,578.34

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Solution

The fourth proportional to 125,496.65, 188,281.83 and 50,578.34 is: 75,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,496.65 : 188,281.83 = 50,578.34 : x
  2. Step 2: Convert to fraction form
    125,496.65/188,281.83 = 50,578.34/x
  3. Step 3: Cross multiply
    125,496.65x = 188,281.83 × 50,578.34
  4. Step 4: Simplify right side
    125,496.65x = 9,522,981,472.15
  5. Step 5: Solve for x
    x = 9,522,981,472.15/125,496.65
  6. Step 6: Final answer
    x = 75,882.36

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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.