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Finding the Fourth Proportional to 102,231.69, 141,069.83 and 75,388.65

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Solution

The fourth proportional to 102,231.69, 141,069.83 and 75,388.65 is: 104,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,231.69 : 141,069.83 = 75,388.65 : x
  2. Step 2: Convert to fraction form
    102,231.69/141,069.83 = 75,388.65/x
  3. Step 3: Cross multiply
    102,231.69x = 141,069.83 × 75,388.65
  4. Step 4: Simplify right side
    102,231.69x = 10,635,063,334.08
  5. Step 5: Solve for x
    x = 10,635,063,334.08/102,231.69
  6. Step 6: Final answer
    x = 104,029.03

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