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Finding the Fourth Proportional to 188,095.65, 259,571.94 and 107,524.89

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Solution

The fourth proportional to 188,095.65, 259,571.94 and 107,524.89 is: 148,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,095.65 : 259,571.94 = 107,524.89 : x
  2. Step 2: Convert to fraction form
    188,095.65/259,571.94 = 107,524.89/x
  3. Step 3: Cross multiply
    188,095.65x = 259,571.94 × 107,524.89
  4. Step 4: Simplify right side
    188,095.65x = 27,910,444,295.59
  5. Step 5: Solve for x
    x = 27,910,444,295.59/188,095.65
  6. Step 6: Final answer
    x = 148,384.32

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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.