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Finding the Fourth Proportional to 188,306.98, 259,800.41 and 106,624.07

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Solution

The fourth proportional to 188,306.98, 259,800.41 and 106,624.07 is: 147,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,306.98 : 259,800.41 = 106,624.07 : x
  2. Step 2: Convert to fraction form
    188,306.98/259,800.41 = 106,624.07/x
  3. Step 3: Cross multiply
    188,306.98x = 259,800.41 × 106,624.07
  4. Step 4: Simplify right side
    188,306.98x = 27,700,976,069.43
  5. Step 5: Solve for x
    x = 27,700,976,069.43/188,306.98
  6. Step 6: Final answer
    x = 147,105.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.